10185458408 has 32 divisors (see below), whose sum is σ = 19422585000. Its totient is φ = 5006204160.

The previous prime is 10185458399. The next prime is 10185458411. The reversal of 10185458408 is 80485458101.

10185458408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9634992964 + 550465444 = 98158^2 + 23462^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 945758 + ... + 956466.

Almost surely, 2^10185458408 is an apocalyptic number.

It is an amenable number.

10185458408 is a deficient number, since it is larger than the sum of its proper divisors (9237126592).

10185458408 is a wasteful number, since it uses less digits than its factorization.

10185458408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12725 (or 12721 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 44.

The spelling of 10185458408 in words is "ten billion, one hundred eighty-five million, four hundred fifty-eight thousand, four hundred eight".