312613632144 has 80 divisors (see below), whose sum is σ = 978891186240. Its totient is φ = 94731402240.

The previous prime is 312613632143. The next prime is 312613632157. The reversal of 312613632144 is 441236316213.

312613632144 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 1 + 3 + 632 + 14 + 4 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 312613632099 and 312613632108.

It is not an unprimeable number, because it can be changed into a prime (312613632143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32888097 + ... + 32897600.

It is an arithmetic number, because the mean of its divisors is an integer number (12236139828).

Almost surely, 2^312613632144 is an apocalyptic number.

It is an amenable number.

312613632144 is an abundant number, since it is smaller than the sum of its proper divisors (666277554096).

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

312613632144 is a wasteful number, since it uses less digits than its factorization.

312613632144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65785725 (or 65785713 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 312613632144 its reverse (441236316213), we get a palindrome (753849948357).

The spelling of 312613632144 in words is "three hundred twelve billion, six hundred thirteen million, six hundred thirty-two thousand, one hundred forty-four".