79461408321 has 15 divisors (see below), whose sum is σ = 118705399923. Its totient is φ = 52972580880.

The previous prime is 79461408307. The next prime is 79461408331. The reversal of 79461408321 is 12380416497.

The square root of 79461408321 is 281889.

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

79461408321 is a `hidden beast` number, since 7 + 9 + 4 + 614 + 0 + 8 + 3 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43331001921 + 36130406400 = 208161^2 + 190080^2 .

It is not a de Polignac number, because 79461408321 - 2¹³ = 79461400129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (79461408331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2521341 + ... + 2552661.

Almost surely, 2^79461408321 is an apocalyptic number.

79461408321 is the 281889-th square number.

79461408321 is the 140945-th centered octagonal number.

It is an amenable number.

79461408321 is a deficient number, since it is larger than the sum of its proper divisors (39243991602).

79461408321 is an frugal number, since it uses more digits than its factorization.

79461408321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62654 (or 31324 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 79461408321 in words is "seventy-nine billion, four hundred sixty-one million, four hundred eight thousand, three hundred twenty-one".