456738078976 has 27 divisors (see below), whose sum is σ = 911713609471. Its totient is φ = 228363632896.

The previous prime is 456738078971. The next prime is 456738079001. The reversal of 456738078976 is 679870837654.

It is a happy number.

The square root of 456738078976 is 675824.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456738078971) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10792065 + ... + 10834303.

Almost surely, 2^456738078976 is an apocalyptic number.

456738078976 is the 675824-th square number.

It is an amenable number.

456738078976 is a deficient number, since it is larger than the sum of its proper divisors (454975530495).

456738078976 is an frugal number, since it uses more digits than its factorization.

456738078976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84494 (or 42241 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 70.

The spelling of 456738078976 in words is "four hundred fifty-six billion, seven hundred thirty-eight million, seventy-eight thousand, nine hundred seventy-six".