312314623632 has 180 divisors, whose sum is σ = 964212778620. Its totient is φ = 94297674240.

The previous prime is 312314623613. The next prime is 312314623639. The reversal of 312314623632 is 236326413213.

312314623632 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 14 + 6 + 2 + 3 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164969194896 + 147345428736 = 406164^2 + 383856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (312314623639) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4794094 + ... + 4858802.

It is an arithmetic number, because the mean of its divisors is an integer number (5356737659).

Almost surely, 2^312314623632 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 312314623632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482106389310).

312314623632 is an abundant number, since it is smaller than the sum of its proper divisors (651898154988).

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

312314623632 is a wasteful number, since it uses less digits than its factorization.

312314623632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65022 (or 65002 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 312314623632 in words is "three hundred twelve billion, three hundred fourteen million, six hundred twenty-three thousand, six hundred thirty-two".