264406416253353 has 24 divisors (see below), whose sum is σ = 416641108836576. Its totient is φ = 160246045440000.

The previous prime is 264406416253333. The next prime is 264406416253361. The reversal of 264406416253353 is 353352614604462.

264406416253353 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 0 + 6 + 4 + 1 + 625 + 3 + 3 + 5 + 3 = 666.

It is not a de Polignac number, because 264406416253353 - 2¹⁶ = 264406416187817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264406416253353.

It is not an unprimeable number, because it can be changed into a prime (264406416253333) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68749353 + ... + 72493353.

It is an arithmetic number, because the mean of its divisors is an integer number (17360046201524).

Almost surely, 2^{264406416253353} is an apocalyptic number.

It is an amenable number.

264406416253353 is a deficient number, since it is larger than the sum of its proper divisors (152234692583223).

264406416253353 is a wasteful number, since it uses less digits than its factorization.

264406416253353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457365 (or 4457362 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 264406416253353 in words is "two hundred sixty-four trillion, four hundred six billion, four hundred sixteen million, two hundred fifty-three thousand, three hundred fifty-three".