157791684218256 has 225 divisors, whose sum is σ = 502002796270129. Its totient is φ = 47814154502400.

The previous prime is 157791684218237. The next prime is 157791684218297. The reversal of 157791684218256 is 652812486197751.

The square root of 157791684218256 is 12561516.

It is a perfect power (a square), and thus also a powerful number.

157791684218256 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 91 + 68 + 421 + 8 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4356888083856 + 153434796134400 = 2087316^2 + 12386880^2 .

It is a super-2 number, since 2×157791684218256² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4974344476 + ... + 4974376196.

Almost surely, 2^{157791684218256} is an apocalyptic number.

157791684218256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157791684218256 is the 12561516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157791684218256

157791684218256 is an abundant number, since it is smaller than the sum of its proper divisors (344211112051873).

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

157791684218256 is an frugal number, since it uses more digits than its factorization.

157791684218256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63484 (or 31737 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 72.

The spelling of 157791684218256 in words is "one hundred fifty-seven trillion, seven hundred ninety-one billion, six hundred eighty-four million, two hundred eighteen thousand, two hundred fifty-six".