979456891468176 has 225 divisors, whose sum is σ = 3116012239081819. Its totient is φ = 296801363073600.

The previous prime is 979456891468141. The next prime is 979456891468213. The reversal of 979456891468176 is 671864198654979.

The square root of 979456891468176 is 31296276.

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

979456891468176 is a `hidden beast` number, since 9 + 7 + 9 + 4 + 56 + 8 + 91 + 468 + 1 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12393285781 + ... + 12393364811.

Almost surely, 2^{979456891468176} is an apocalyptic number.

979456891468176 is the 31296276-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 979456891468176

979456891468176 is an abundant number, since it is smaller than the sum of its proper divisors (2136555347613643).

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

979456891468176 is an frugal number, since it uses more digits than its factorization.

979456891468176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158104 (or 79047 counting only the distinct ones).

The product of its digits is 39504568320, while the sum is 90.

The spelling of 979456891468176 in words is "nine hundred seventy-nine trillion, four hundred fifty-six billion, eight hundred ninety-one million, four hundred sixty-eight thousand, one hundred seventy-six".