315486740902320 has 960 divisors, whose sum is σ = 1200937599074304. Its totient is φ = 73639023575040.

The previous prime is 315486740902303. The next prime is 315486740902321. The reversal of 315486740902320 is 23209047684513.

315486740902320 is a `hidden beast` number, since 3 + 1 + 5 + 486 + 7 + 40 + 90 + 2 + 32 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (315486740902321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41858393592 + ... + 41858401128.

It is a 1-persistent number, because it is pandigital, but 2⋅315486740902320 = 630973481804640 is not.

Almost surely, 2^{315486740902320} is an apocalyptic number.

315486740902320 is a gapful number since it is divisible by the number (30) 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 315486740902320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600468799537152).

315486740902320 is an abundant number, since it is smaller than the sum of its proper divisors (885450858171984).

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

315486740902320 is a wasteful number, since it uses less digits than its factorization.

315486740902320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9250 (or 9241 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 315486740902320 in words is "three hundred fifteen trillion, four hundred eighty-six billion, seven hundred forty million, nine hundred two thousand, three hundred twenty".