10456304625 has 144 divisors (see below), whose sum is σ = 20901703680. Its totient is φ = 5024073600.

The previous prime is 10456304587. The next prime is 10456304647. The reversal of 10456304625 is 52640365401.

10456304625 is a `hidden beast` number, since 10 + 4 + 5 + 630 + 4 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 10456304625 - 2¹⁰ = 10456303601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10456304625.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8174736 + ... + 8176014.

It is an arithmetic number, because the mean of its divisors is an integer number (145150720).

Almost surely, 2^10456304625 is an apocalyptic number.

10456304625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10456304625 is a deficient number, since it is larger than the sum of its proper divisors (10445399055).

10456304625 is a wasteful number, since it uses less digits than its factorization.

10456304625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10456304625 in words is "ten billion, four hundred fifty-six million, three hundred four thousand, six hundred twenty-five".