456998951376 has 80 divisors (see below), whose sum is σ = 1431006832320. Its totient is φ = 138484529280.

The previous prime is 456998951351. The next prime is 456998951417. The reversal of 456998951376 is 673159899654.

456998951376 is a `hidden beast` number, since 4 + 569 + 9 + 8 + 9 + 51 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×456998951376² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48080155 + ... + 48089658.

It is an arithmetic number, because the mean of its divisors is an integer number (17887585404).

Almost surely, 2^456998951376 is an apocalyptic number.

It is an amenable number.

456998951376 is an abundant number, since it is smaller than the sum of its proper divisors (974007880944).

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

456998951376 is a wasteful number, since it uses less digits than its factorization.

456998951376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96169841 (or 96169829 counting only the distinct ones).

The product of its digits is 440899200, while the sum is 72.

The spelling of 456998951376 in words is "four hundred fifty-six billion, nine hundred ninety-eight million, nine hundred fifty-one thousand, three hundred seventy-six".