315150233072256 has 512 divisors, whose sum is σ = 991777358880000. Its totient is φ = 99460409794560.

The previous prime is 315150233072239. The next prime is 315150233072273. The reversal of 315150233072256 is 652270332051513.

315150233072256 is a `hidden beast` number, since 3 + 1 + 51 + 50 + 23 + 307 + 225 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (315150233072239) and next prime (315150233072273).

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 63 ways as a sum of consecutive naturals, for example, 9153610050 + ... + 9153644478.

Almost surely, 2^{315150233072256} is an apocalyptic number.

315150233072256 is a gapful number since it is divisible by the number (36) 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 315150233072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495888679440000).

315150233072256 is an abundant number, since it is smaller than the sum of its proper divisors (676627125807744).

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

315150233072256 is an equidigital number, since it uses as much as digits as its factorization.

315150233072256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36204 (or 36174 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 315150233072256 in words is "three hundred fifteen trillion, one hundred fifty billion, two hundred thirty-three million, seventy-two thousand, two hundred fifty-six".