314634314920 has 32 divisors (see below), whose sum is σ = 708188391720. Its totient is φ = 125807293440.

The previous prime is 314634314903. The next prime is 314634314933. The reversal of 314634314920 is 29413436413.

It can be written as a sum of positive squares in 4 ways, for example, as 286586774244 + 28047540676 = 535338^2 + 167474^2 .

It is a super-3 number, since 3×314634314920³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1341141 + ... + 1558180.

Almost surely, 2^314634314920 is an apocalyptic number.

It is an amenable number.

314634314920 is an abundant number, since it is smaller than the sum of its proper divisors (393554076800).

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

314634314920 is a wasteful number, since it uses less digits than its factorization.

314634314920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902045 (or 2902041 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 314634314920 in words is "three hundred fourteen billion, six hundred thirty-four million, three hundred fourteen thousand, nine hundred twenty".