157614784034112 has 448 divisors, whose sum is σ = 474447439134720. Its totient is φ = 51295004006400.

The previous prime is 157614784034087. The next prime is 157614784034117. The reversal of 157614784034112 is 211430487416751.

157614784034112 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 147 + 84 + 0 + 3 + 411 + 2 = 666.

It is a super-2 number, since 2×157614784034112² (a number of 29 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 not an unprimeable number, because it can be changed into a prime (157614784034117) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8518327453 + ... + 8518345955.

Almost surely, 2^{157614784034112} is an apocalyptic number.

157614784034112 is a gapful number since it is divisible by the number (12) 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 157614784034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237223719567360).

157614784034112 is an abundant number, since it is smaller than the sum of its proper divisors (316832655100608).

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

157614784034112 is a wasteful number, since it uses less digits than its factorization.

157614784034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19179 (or 19163 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 157614784034112 in words is "one hundred fifty-seven trillion, six hundred fourteen billion, seven hundred eighty-four million, thirty-four thousand, one hundred twelve".