264768743225 has 48 divisors (see below), whose sum is σ = 384840118656. Its totient is φ = 176909376000.

The previous prime is 264768743177. The next prime is 264768743341. The reversal of 264768743225 is 522347867462.

It is not a de Polignac number, because 264768743225 - 2¹² = 264768739129 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5911415 + ... + 5956035.

It is an arithmetic number, because the mean of its divisors is an integer number (8017502472).

Almost surely, 2^264768743225 is an apocalyptic number.

264768743225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264768743225 is a deficient number, since it is larger than the sum of its proper divisors (120071375431).

264768743225 is a wasteful number, since it uses less digits than its factorization.

264768743225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45506 (or 45501 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 56.

The spelling of 264768743225 in words is "two hundred sixty-four billion, seven hundred sixty-eight million, seven hundred forty-three thousand, two hundred twenty-five".