456428257908399 has 12 divisors (see below), whose sum is σ = 753468870198096. Its totient is φ = 260816147376192.

The previous prime is 456428257908349. The next prime is 456428257908523. The reversal of 456428257908399 is 993809752824654.

456428257908399 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 2 + 8 + 2 + 579 + 0 + 8 + 39 + 9 = 666.

It is not a de Polignac number, because 456428257908399 - 2²⁰ = 456428256859823 is a prime.

It is a hoax number, since the sum of its digits (81) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456428257908349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3622446491274 + ... + 3622446491399.

It is an arithmetic number, because the mean of its divisors is an integer number (62789072516508).

Almost surely, 2^{456428257908399} is an apocalyptic number.

456428257908399 is a deficient number, since it is larger than the sum of its proper divisors (297040612289697).

456428257908399 is a wasteful number, since it uses less digits than its factorization.

456428257908399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244892982686 (or 7244892982683 counting only the distinct ones).

The product of its (nonzero) digits is 9405849600, while the sum is 81.

The spelling of 456428257908399 in words is "four hundred fifty-six trillion, four hundred twenty-eight billion, two hundred fifty-seven million, nine hundred eight thousand, three hundred ninety-nine".