10046632724625 has 128 divisors (see below), whose sum is σ = 19427089443840. Its totient is φ = 4515581952000.

The previous prime is 10046632724617. The next prime is 10046632724659. The reversal of 10046632724625 is 52642723664001.

It is a happy number.

It is not a de Polignac number, because 10046632724625 - 2³ = 10046632724617 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 430564459 + ... + 430587791.

It is an arithmetic number, because the mean of its divisors is an integer number (151774136280).

Almost surely, 2^{10046632724625} is an apocalyptic number.

10046632724625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10046632724625 is a deficient number, since it is larger than the sum of its proper divisors (9380456719215).

10046632724625 is a wasteful number, since it uses less digits than its factorization.

10046632724625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26108 (or 26098 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 10046632724625 in words is "ten trillion, forty-six billion, six hundred thirty-two million, seven hundred twenty-four thousand, six hundred twenty-five".