256464464652 has 48 divisors (see below), whose sum is σ = 725354044800. Its totient is φ = 77716504080.

The previous prime is 256464464621. The next prime is 256464464731.

256464464652 is a `hidden beast` number, since 2 + 5 + 64 + 64 + 464 + 65 + 2 = 666.

256464464652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×256464464652² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107938402 + ... + 107940777.

It is an arithmetic number, because the mean of its divisors is an integer number (15111542600).

Almost surely, 2^256464464652 is an apocalyptic number.

256464464652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256464464652 is an abundant number, since it is smaller than the sum of its proper divisors (468889580148).

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

256464464652 is a wasteful number, since it uses less digits than its factorization.

256464464652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215879203 (or 215879195 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 256464464652 in words is "two hundred fifty-six billion, four hundred sixty-four million, four hundred sixty-four thousand, six hundred fifty-two".