79479221972544 has 105 divisors (see below), whose sum is σ = 235603215282721. Its totient is φ = 26492860028160.

The previous prime is 79479221972533. The next prime is 79479221972551. The reversal of 79479221972544 is 44527912297497.

The square root of 79479221972544 is 8915112.

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

79479221972544 is a `hidden beast` number, since 7 + 9 + 4 + 7 + 9 + 2 + 2 + 1 + 9 + 72 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8199700974144 + 71279520998400 = 2863512^2 + 8442720^2 .

It is a super-3 number, since 3×79479221972544³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 641826154 + ... + 641949974.

Almost surely, 2^{79479221972544} is an apocalyptic number.

79479221972544 is the 8915112-nd square number.

It is an amenable number.

79479221972544 is an abundant number, since it is smaller than the sum of its proper divisors (156123993310177).

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

79479221972544 is an frugal number, since it uses more digits than its factorization.

79479221972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247666 (or 123826 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 79479221972544 in words is "seventy-nine trillion, four hundred seventy-nine billion, two hundred twenty-one million, nine hundred seventy-two thousand, five hundred forty-four".