314865008640 has 1620 divisors, whose sum is σ = 1425598849584. Its totient is φ = 62936580096.

The previous prime is 314865008629. The next prime is 314865008651. The reversal of 314865008640 is 46800568413.

314865008640 is a `hidden beast` number, since 3 + 1 + 4 + 86 + 500 + 8 + 64 + 0 = 666.

314865008640 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314865008629) and next prime (314865008651).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16571842551 + ... + 16571842569.

Almost surely, 2^314865008640 is an apocalyptic number.

314865008640 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 314865008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712799424792).

314865008640 is an abundant number, since it is smaller than the sum of its proper divisors (1110733840944).

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

314865008640 is a wasteful number, since it uses less digits than its factorization.

314865008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 314865008640 in words is "three hundred fourteen billion, eight hundred sixty-five million, eight thousand, six hundred forty".