456875525745 has 24 divisors (see below), whose sum is σ = 792699411816. Its totient is φ = 243426382848.

The previous prime is 456875525707. The next prime is 456875525753. The reversal of 456875525745 is 547525578654.

456875525745 is a `hidden beast` number, since 4 + 5 + 6 + 8 + 7 + 5 + 52 + 574 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40958878689 + 415916647056 = 202383^2 + 644916^2 .

It is not a de Polignac number, because 456875525745 - 2¹⁷ = 456875394673 is a prime.

It is a Curzon number.

It is an unprimeable number.

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, 4965664 + ... + 5056833.

It is an arithmetic number, because the mean of its divisors is an integer number (33029142159).

Almost surely, 2^456875525745 is an apocalyptic number.

456875525745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456875525745 is a deficient number, since it is larger than the sum of its proper divisors (335823886071).

456875525745 is a wasteful number, since it uses less digits than its factorization.

456875525745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10023521 (or 10023518 counting only the distinct ones).

The product of its digits is 235200000, while the sum is 63.

The spelling of 456875525745 in words is "four hundred fifty-six billion, eight hundred seventy-five million, five hundred twenty-five thousand, seven hundred forty-five".