157633881691104 has 864 divisors, whose sum is σ = 586222840607040. Its totient is φ = 39750201114624.

The previous prime is 157633881691063. The next prime is 157633881691159. The reversal of 157633881691104 is 401196188336751.

157633881691104 is a `hidden beast` number, since 1 + 5 + 7 + 63 + 388 + 1 + 6 + 91 + 104 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13236527902 + ... + 13236539810.

It is an arithmetic number, because the mean of its divisors is an integer number (678498658110).

Almost surely, 2^{157633881691104} is an apocalyptic number.

157633881691104 is a gapful number since it is divisible by the number (14) 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 157633881691104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293111420303520).

157633881691104 is an abundant number, since it is smaller than the sum of its proper divisors (428588958915936).

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

157633881691104 is a wasteful number, since it uses less digits than its factorization.

157633881691104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15112 (or 15094 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 157633881691104 in words is "one hundred fifty-seven trillion, six hundred thirty-three billion, eight hundred eighty-one million, six hundred ninety-one thousand, one hundred four".