264434645253504 has 64 divisors (see below), whose sum is σ = 766259483417280. Its totient is φ = 80131710681600.

The previous prime is 264434645253481. The next prime is 264434645253517. The reversal of 264434645253504 is 405352546434462.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×264434645253504² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31301445262 + ... + 31301453709.

It is an arithmetic number, because the mean of its divisors is an integer number (11972804428395).

Almost surely, 2^{264434645253504} is an apocalyptic number.

264434645253504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264434645253504 is an abundant number, since it is smaller than the sum of its proper divisors (501824838163776).

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

264434645253504 is a wasteful number, since it uses less digits than its factorization.

264434645253504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62602898999 (or 62602898987 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 57.

The spelling of 264434645253504 in words is "two hundred sixty-four trillion, four hundred thirty-four billion, six hundred forty-five million, two hundred fifty-three thousand, five hundred four".