264217653464456 has 48 divisors (see below), whose sum is σ = 524126065037760. Its totient is φ = 124633937324160.

The previous prime is 264217653464447. The next prime is 264217653464473. The reversal of 264217653464456 is 654464356712462.

264217653464456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264217653464392 and 264217653464401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133750700 + ... + 135711771.

It is an arithmetic number, because the mean of its divisors is an integer number (10919293021620).

Almost surely, 2^{264217653464456} is an apocalyptic number.

It is an amenable number.

264217653464456 is a deficient number, since it is larger than the sum of its proper divisors (259908411573304).

264217653464456 is a wasteful number, since it uses less digits than its factorization.

264217653464456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269462646 (or 269462569 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 65.

The spelling of 264217653464456 in words is "two hundred sixty-four trillion, two hundred seventeen billion, six hundred fifty-three million, four hundred sixty-four thousand, four hundred fifty-six".