79917038174689 has 27 divisors (see below), whose sum is σ = 84713848731603. Its totient is φ = 75380844899664.

The previous prime is 79917038174587. The next prime is 79917038174713. The reversal of 79917038174689 is 98647183071997.

The square root of 79917038174689 is 8939633.

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

It can be written as a sum of positive squares in only one way, i.e., 75512328587089 + 4404709587600 = 8689783^2 + 2098740^2 .

It is not a de Polignac number, because 79917038174689 - 2²⁷ = 79916903956961 is a prime.

It is a super-2 number, since 2×79917038174689² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79917038174989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44671345207 + ... + 44671346995.

Almost surely, 2^{79917038174689} is an apocalyptic number.

79917038174689 is the 8939633-rd square number.

79917038174689 is the 4469817-th centered octagonal number.

It is an amenable number.

79917038174689 is a deficient number, since it is larger than the sum of its proper divisors (4796810556914).

79917038174689 is an frugal number, since it uses more digits than its factorization.

79917038174689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 79.

The spelling of 79917038174689 in words is "seventy-nine trillion, nine hundred seventeen billion, thirty-eight million, one hundred seventy-four thousand, six hundred eighty-nine".