314629643328 has 448 divisors, whose sum is σ = 1176545556480. Its totient is φ = 71464550400.

The previous prime is 314629643311. The next prime is 314629643329. The reversal of 314629643328 is 823346926413.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (314629643329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3608568 + ... + 3694728.

It is an arithmetic number, because the mean of its divisors is an integer number (2626217760).

Almost surely, 2^314629643328 is an apocalyptic number.

314629643328 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 314629643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588272778240).

314629643328 is an abundant number, since it is smaller than the sum of its proper divisors (861915913152).

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

314629643328 is a wasteful number, since it uses less digits than its factorization.

314629643328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86226 (or 86216 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 51.

The spelling of 314629643328 in words is "three hundred fourteen billion, six hundred twenty-nine million, six hundred forty-three thousand, three hundred twenty-eight".