49508617824 has 336 divisors, whose sum is σ = 153858549600. Its totient is φ = 15654021120.

The previous prime is 49508617817. The next prime is 49508617883. The reversal of 49508617824 is 42871680594.

It is a happy number.

49508617824 is a `hidden beast` number, since 4 + 9 + 508 + 61 + 78 + 2 + 4 = 666.

It is a super-2 number, since 2×49508617824² (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35387877 + ... + 35389275.

It is an arithmetic number, because the mean of its divisors is an integer number (457912350).

Almost surely, 2^49508617824 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 49508617824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76929274800).

49508617824 is an abundant number, since it is smaller than the sum of its proper divisors (104349931776).

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

49508617824 is a wasteful number, since it uses less digits than its factorization.

49508617824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 49508617824 in words is "forty-nine billion, five hundred eight million, six hundred seventeen thousand, eight hundred twenty-four".