49931468160 has 256 divisors, whose sum is σ = 182577715200. Its totient is φ = 11369963520.

The previous prime is 49931468149. The next prime is 49931468173. The reversal of 49931468160 is 6186413994.

It is a super-2 number, since 2×49931468160² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3635386 + ... + 3649094.

It is an arithmetic number, because the mean of its divisors is an integer number (713194200).

Almost surely, 2^49931468160 is an apocalyptic number.

49931468160 is a gapful number since it is divisible by the number (40) 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 49931468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91288857600).

49931468160 is an abundant number, since it is smaller than the sum of its proper divisors (132646247040).

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

49931468160 is a wasteful number, since it uses less digits than its factorization.

49931468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14009 (or 13997 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 49931468160 in words is "forty-nine billion, nine hundred thirty-one million, four hundred sixty-eight thousand, one hundred sixty".