312064828160 has 144 divisors (see below), whose sum is σ = 812218229760. Its totient is φ = 114441154560.

The previous prime is 312064828133. The next prime is 312064828199. The reversal of 312064828160 is 61828460213.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546959 + ... + 960881.

Almost surely, 2^312064828160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312064828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406109114880).

312064828160 is an abundant number, since it is smaller than the sum of its proper divisors (500153401600).

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

312064828160 is a wasteful number, since it uses less digits than its factorization.

312064828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413994 (or 413980 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 312064828160 in words is "three hundred twelve billion, sixty-four million, eight hundred twenty-eight thousand, one hundred sixty".