264861042800704 has 63 divisors (see below), whose sum is σ = 611395308131373. Its totient is φ = 113511484896768.

The previous prime is 264861042800687. The next prime is 264861042800713. The reversal of 264861042800704 is 407008240168462.

The square root of 264861042800704 is 16274552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 134874775873600 + 129986266927104 = 11613560^2 + 11401152^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 911229604 + ... + 911520220.

Almost surely, 2^{264861042800704} is an apocalyptic number.

264861042800704 is the 16274552-nd square number.

It is an amenable number.

264861042800704 is an abundant number, since it is smaller than the sum of its proper divisors (346534265330669).

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

264861042800704 is an frugal number, since it uses more digits than its factorization.

264861042800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581260 (or 290626 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 52.

The spelling of 264861042800704 in words is "two hundred sixty-four trillion, eight hundred sixty-one billion, forty-two million, eight hundred thousand, seven hundred four".