972179383971279 has 32 divisors (see below), whose sum is σ = 1458923050430208. Its totient is φ = 575497309648800.

The previous prime is 972179383971161. The next prime is 972179383971281.

972179383971279 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 972179383971279 - 2¹¹ = 972179383969231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972179383971779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2830885512 + ... + 2831228909.

It is an arithmetic number, because the mean of its divisors is an integer number (45591345325944).

Almost surely, 2^{972179383971279} is an apocalyptic number.

972179383971279 is a deficient number, since it is larger than the sum of its proper divisors (486743666458929).

972179383971279 is a wasteful number, since it uses less digits than its factorization.

972179383971279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662114500 (or 5662114478 counting only the distinct ones).

The product of its digits is 4536852768, while the sum is 84.

The spelling of 972179383971279 in words is "nine hundred seventy-two trillion, one hundred seventy-nine billion, three hundred eighty-three million, nine hundred seventy-one thousand, two hundred seventy-nine".