49511763860832 has 864 divisors, whose sum is σ = 184648991567040. Its totient is φ = 12279534059520.

The previous prime is 49511763860827. The next prime is 49511763860893. The reversal of 49511763860832 is 23806836711594.

49511763860832 is a `hidden beast` number, since 4 + 9 + 5 + 1 + 17 + 6 + 3 + 8 + 608 + 3 + 2 = 666.

49511763860832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49511763860832² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 49511763860832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8624237482 + ... + 8624243222.

It is an arithmetic number, because the mean of its divisors is an integer number (213714110610).

It is a 1-persistent number, because it is pandigital, but 2⋅49511763860832 = 99023527721664 is not.

Almost surely, 2^{49511763860832} is an apocalyptic number.

49511763860832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49511763860832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92324495783520).

49511763860832 is an abundant number, since it is smaller than the sum of its proper divisors (135137227706208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49511763860832 is a wasteful number, since it uses less digits than its factorization.

49511763860832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 49511763860832 in words is "forty-nine trillion, five hundred eleven billion, seven hundred sixty-three million, eight hundred sixty thousand, eight hundred thirty-two".