972466585664279 has 8 divisors (see below), whose sum is σ = 975637356503040. Its totient is φ = 969298381216600.

The previous prime is 972466585664257. The next prime is 972466585664291.

972466585664279 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972466585664279 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 972466585664279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972466585664479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 640838687 + ... + 642354384.

It is an arithmetic number, because the mean of its divisors is an integer number (121954669562880).

Almost surely, 2^{972466585664279} is an apocalyptic number.

972466585664279 is a deficient number, since it is larger than the sum of its proper divisors (3170770838761).

972466585664279 is a wasteful number, since it uses less digits than its factorization.

972466585664279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283195541.

The product of its digits is 65840947200, while the sum is 86.

The spelling of 972466585664279 in words is "nine hundred seventy-two trillion, four hundred sixty-six billion, five hundred eighty-five million, six hundred sixty-four thousand, two hundred seventy-nine".