264365134465564 has 192 divisors, whose sum is σ = 548791175116800. Its totient is φ = 110140989235200.

The previous prime is 264365134465547. The next prime is 264365134465571. The reversal of 264365134465564 is 465564431563462.

It is a junction number, because it is equal to n+sod(n) for n = 264365134465496 and 264365134465505.

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 63 ways as a sum of consecutive naturals, for example, 22803852952 + ... + 22803864544.

It is an arithmetic number, because the mean of its divisors is an integer number (2858287370400).

Almost surely, 2^{264365134465564} is an apocalyptic number.

It is an amenable number.

264365134465564 is an abundant number, since it is smaller than the sum of its proper divisors (284426040651236).

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

264365134465564 is a wasteful number, since it uses less digits than its factorization.

264365134465564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18284 (or 18282 counting only the distinct ones).

The product of its digits is 746496000, while the sum is 64.

The spelling of 264365134465564 in words is "two hundred sixty-four trillion, three hundred sixty-five billion, one hundred thirty-four million, four hundred sixty-five thousand, five hundred sixty-four".