264404253131316 has 72 divisors (see below), whose sum is σ = 681997573193664. Its totient is φ = 86351747241600.

The previous prime is 264404253131309. The next prime is 264404253131323. The reversal of 264404253131316 is 613131352404462.

264404253131316 is a `hidden beast` number, since 2 + 6 + 4 + 40 + 42 + 531 + 3 + 1 + 31 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (264404253131309) and next prime (264404253131323).

It is a super-2 number, since 2×264404253131316² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332750346 + ... + 333544001.

Almost surely, 2^{264404253131316} is an apocalyptic number.

It is an amenable number.

264404253131316 is an abundant number, since it is smaller than the sum of its proper divisors (417593320062348).

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

264404253131316 is a wasteful number, since it uses less digits than its factorization.

264404253131316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666294581 (or 666294576 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 264404253131316 in words is "two hundred sixty-four trillion, four hundred four billion, two hundred fifty-three million, one hundred thirty-one thousand, three hundred sixteen".