456334025625 has 45 divisors (see below), whose sum is σ = 823764233721. Its totient is φ = 243351126000.

The previous prime is 456334025603. The next prime is 456334025629. The reversal of 456334025625 is 526520433654.

The square root of 456334025625 is 675525.

It is a perfect power (a square), and thus also a powerful number.

456334025625 is a `hidden beast` number, since 4 + 5 + 633 + 4 + 0 + 2 + 5 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35776587609 + 420557438016 = 189147^2 + 648504^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 456334025625 - 2¹¹ = 456334023577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (456334025629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50659872 + ... + 50668878.

Almost surely, 2^456334025625 is an apocalyptic number.

456334025625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

456334025625 is the 675525-th square number.

456334025625 is the 337763-rd centered octagonal number.

It is an amenable number.

456334025625 is a deficient number, since it is larger than the sum of its proper divisors (367430208096).

456334025625 is an frugal number, since it uses more digits than its factorization.

456334025625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18040 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 456334025625 in words is "four hundred fifty-six billion, three hundred thirty-four million, twenty-five thousand, six hundred twenty-five".