10398657456 has 60 divisors (see below), whose sum is σ = 31747421160. Its totient is φ = 3151107840.

The previous prime is 10398657419. The next prime is 10398657469. The reversal of 10398657456 is 65475689301.

10398657456 is a `hidden beast` number, since 10 + 3 + 9 + 8 + 6 + 574 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3280821 + ... + 3283988.

It is an arithmetic number, because the mean of its divisors is an integer number (529123686).

Almost surely, 2^10398657456 is an apocalyptic number.

10398657456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10398657456 is an abundant number, since it is smaller than the sum of its proper divisors (21348763704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10398657456 is a wasteful number, since it uses less digits than its factorization.

10398657456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564834 (or 6564825 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 10398657456 in words is "ten billion, three hundred ninety-eight million, six hundred fifty-seven thousand, four hundred fifty-six".