315384145509888 has 960 divisors, whose sum is σ = 1222908493847040. Its totient is φ = 78800380526592.

The previous prime is 315384145509863. The next prime is 315384145509893. The reversal of 315384145509888 is 888905541483513.

It is a happy number.

315384145509888 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 8 + 4 + 1 + 455 + 0 + 98 + 88 = 666.

It is a super-2 number, since 2×315384145509888² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214382206 + ... + 215848322.

It is an arithmetic number, because the mean of its divisors is an integer number (1273863014424).

Almost surely, 2^{315384145509888} is an apocalyptic number.

315384145509888 is a gapful number since it is divisible by the number (38) 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 315384145509888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611454246923520).

315384145509888 is an abundant number, since it is smaller than the sum of its proper divisors (907524348337152).

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

315384145509888 is a wasteful number, since it uses less digits than its factorization.

315384145509888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466189 (or 1466161 counting only the distinct ones).

The product of its (nonzero) digits is 663552000, while the sum is 72.

The spelling of 315384145509888 in words is "three hundred fifteen trillion, three hundred eighty-four billion, one hundred forty-five million, five hundred nine thousand, eight hundred eighty-eight".