264444805774081 has 81 divisors (see below), whose sum is σ = 288539498729979. Its totient is φ = 242337155816448.

The previous prime is 264444805774067. The next prime is 264444805774111. The reversal of 264444805774081 is 180477508444462.

The square root of 264444805774081 is 16261759.

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

264444805774081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 17666343828225 + 246778461945856 = 4203135^2 + 15709184^2 .

It is a de Polignac number, because none of the positive numbers 2^k-264444805774081 is a prime.

It is a super-2 number, since 2×264444805774081² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264444805774481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1342359420075 + ... + 1342359420271.

Almost surely, 2^{264444805774081} is an apocalyptic number.

264444805774081 is the 16261759-th square number.

264444805774081 is the 8130880-th centered octagonal number.

It is an amenable number.

264444805774081 is a deficient number, since it is larger than the sum of its proper divisors (24094692955898).

264444805774081 is an frugal number, since it uses more digits than its factorization.

264444805774081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 192675840, while the sum is 64.

The spelling of 264444805774081 in words is "two hundred sixty-four trillion, four hundred forty-four billion, eight hundred five million, seven hundred seventy-four thousand, eighty-one".