315256018896 has 360 divisors, whose sum is σ = 1146217616544. Its totient is φ = 83143791360.

The previous prime is 315256018871. The next prime is 315256018897. The reversal of 315256018896 is 698810652513.

315256018896 is a `hidden beast` number, since 3 + 1 + 5 + 25 + 601 + 8 + 8 + 9 + 6 = 666.

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 (315256018897) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2413011 + ... + 2540301.

Almost surely, 2^315256018896 is an apocalyptic number.

315256018896 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 315256018896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573108808272).

315256018896 is an abundant number, since it is smaller than the sum of its proper divisors (830961597648).

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

315256018896 is a wasteful number, since it uses less digits than its factorization.

315256018896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127341 (or 127316 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 315256018896 in words is "three hundred fifteen billion, two hundred fifty-six million, eighteen thousand, eight hundred ninety-six".