312360663160 has 384 divisors, whose sum is σ = 900348825600. Its totient is φ = 94955212800.

The previous prime is 312360663137. The next prime is 312360663161. The reversal of 312360663160 is 61366063213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312360663161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434437281 + ... + 434437999.

It is an arithmetic number, because the mean of its divisors is an integer number (2344658400).

Almost surely, 2^312360663160 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 312360663160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450174412800).

312360663160 is an abundant number, since it is smaller than the sum of its proper divisors (587988162440).

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

312360663160 is a wasteful number, since it uses less digits than its factorization.

312360663160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 312360663160 in words is "three hundred twelve billion, three hundred sixty million, six hundred sixty-three thousand, one hundred sixty".