4621312131264 has 84 divisors (see below), whose sum is σ = 13604161121824. Its totient is φ = 1498803927552.

The previous prime is 4621312131203. The next prime is 4621312131283.

4621312131264 is a `hidden beast` number, since 4 + 6 + 21 + 312 + 1 + 312 + 6 + 4 = 666.

4621312131264 is nontrivially palindromic in base 10.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108399112 + ... + 108441735.

Almost surely, 2^{4621312131264} is an apocalyptic number.

It is an amenable number.

4621312131264 is an abundant number, since it is smaller than the sum of its proper divisors (8982848990560).

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

4621312131264 is a wasteful number, since it uses less digits than its factorization.

4621312131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216840902 (or 216840889 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 4621312131264 in words is "four trillion, six hundred twenty-one billion, three hundred twelve million, one hundred thirty-one thousand, two hundred sixty-four".