157346461564512 has 432 divisors, whose sum is σ = 468265303509696. Its totient is φ = 46202817830400.

The previous prime is 157346461564451. The next prime is 157346461564529. The reversal of 157346461564512 is 215465164643751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8056232187 + ... + 8056251717.

It is an arithmetic number, because the mean of its divisors is an integer number (1083947461828).

Almost surely, 2^{157346461564512} is an apocalyptic number.

157346461564512 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 157346461564512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234132651754848).

157346461564512 is an abundant number, since it is smaller than the sum of its proper divisors (310918841945184).

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

157346461564512 is a wasteful number, since it uses less digits than its factorization.

157346461564512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19863 (or 19717 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 60.

The spelling of 157346461564512 in words is "one hundred fifty-seven trillion, three hundred forty-six billion, four hundred sixty-one million, five hundred sixty-four thousand, five hundred twelve".