315814256640 has 280 divisors, whose sum is σ = 1132195381020. Its totient is φ = 84216250368.

The previous prime is 315814256633. The next prime is 315814256647. The reversal of 315814256640 is 46652418513.

315814256640 is a `hidden beast` number, since 3 + 1 + 5 + 8 + 1 + 42 + 566 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (315814256633) and next prime (315814256647).

It can be written as a sum of positive squares in 2 ways, for example, as 301321949184 + 14492307456 = 548928^2 + 120384^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (315814256647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3270166 + ... + 3365354.

Almost surely, 2^315814256640 is an apocalyptic number.

315814256640 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 315814256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566097690510).

315814256640 is an abundant number, since it is smaller than the sum of its proper divisors (816381124380).

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

315814256640 is an frugal number, since it uses more digits than its factorization.

315814256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95232 (or 95199 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 315814256640 in words is "three hundred fifteen billion, eight hundred fourteen million, two hundred fifty-six thousand, six hundred forty".