157512414333344 has 192 divisors, whose sum is σ = 380279905689600. Its totient is φ = 62724699648000.

The previous prime is 157512414333331. The next prime is 157512414333353. The reversal of 157512414333344 is 443333414215751.

It is a super-3 number, since 3×157512414333344³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157512414333292 and 157512414333301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49218584 + ... + 52321064.

It is an arithmetic number, because the mean of its divisors is an integer number (1980624508800).

Almost surely, 2^{157512414333344} is an apocalyptic number.

157512414333344 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 157512414333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190139952844800).

157512414333344 is an abundant number, since it is smaller than the sum of its proper divisors (222767491356256).

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

157512414333344 is a wasteful number, since it uses less digits than its factorization.

157512414333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102747 (or 3102739 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 50.

The spelling of 157512414333344 in words is "one hundred fifty-seven trillion, five hundred twelve billion, four hundred fourteen million, three hundred thirty-three thousand, three hundred forty-four".