315102928896 has 336 divisors, whose sum is σ = 1078852791744. Its totient is φ = 90025426944.

The previous prime is 315102928871. The next prime is 315102928927. The reversal of 315102928896 is 698829201513.

315102928896 is a `hidden beast` number, since 3 + 1 + 510 + 29 + 28 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13923286 + ... + 13945898.

It is an arithmetic number, because the mean of its divisors is an integer number (3210871404).

Almost surely, 2^315102928896 is an apocalyptic number.

315102928896 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 315102928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539426395872).

315102928896 is an abundant number, since it is smaller than the sum of its proper divisors (763749862848).

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

315102928896 is an frugal number, since it uses more digits than its factorization.

315102928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22661 (or 22625 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 315102928896 in words is "three hundred fifteen billion, one hundred two million, nine hundred twenty-eight thousand, eight hundred ninety-six".