264590899456 has 81 divisors (see below), whose sum is σ = 572131517139. Its totient is φ = 122069495808.

The previous prime is 264590899439. The next prime is 264590899471. The reversal of 264590899456 is 654998095462.

The square root of 264590899456 is 514384.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4735641856 + 259855257600 = 68816^2 + 509760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 264590899391 and 264590899400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 106990636 + ... + 106993108.

Almost surely, 2^264590899456 is an apocalyptic number.

264590899456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

264590899456 is the 514384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264590899456

264590899456 is an abundant number, since it is smaller than the sum of its proper divisors (307540617683).

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

264590899456 is an frugal number, since it uses more digits than its factorization.

264590899456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 67.

The spelling of 264590899456 in words is "two hundred sixty-four billion, five hundred ninety million, eight hundred ninety-nine thousand, four hundred fifty-six".