49695006816 has 384 divisors, whose sum is σ = 184155955200. Its totient is φ = 12682967040.

The previous prime is 49695006763. The next prime is 49695006827. The reversal of 49695006816 is 61860059694.

It is a happy number.

49695006816 is a `hidden beast` number, since 4 + 9 + 69 + 500 + 68 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2427150 + ... + 2447538.

It is an arithmetic number, because the mean of its divisors is an integer number (479572800).

Almost surely, 2^49695006816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49695006816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92077977600).

49695006816 is an abundant number, since it is smaller than the sum of its proper divisors (134460948384).

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

49695006816 is a wasteful number, since it uses less digits than its factorization.

49695006816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20459 (or 20445 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 49695006816 in words is "forty-nine billion, six hundred ninety-five million, six thousand, eight hundred sixteen".