79829416681 has 27 divisors (see below), whose sum is σ = 93799295703. Its totient is φ = 67742030160.

The previous prime is 79829416673. The next prime is 79829416687. The reversal of 79829416681 is 18661492897.

The square root of 79829416681 is 282541.

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., 879656281 + 78949760400 = 29659^2 + 280980^2 .

It is not a de Polignac number, because 79829416681 - 2³ = 79829416673 is a prime.

It is a super-2 number, since 2×79829416681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79829416687) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 357979336 + ... + 357979558.

It is an arithmetic number, because the mean of its divisors is an integer number (3474047989).

Almost surely, 2^79829416681 is an apocalyptic number.

79829416681 is the 282541-st square number.

79829416681 is the 141271-st centered octagonal number.

It is an amenable number.

79829416681 is a deficient number, since it is larger than the sum of its proper divisors (13969879022).

79829416681 is an frugal number, since it uses more digits than its factorization.

79829416681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 411 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 61.

The spelling of 79829416681 in words is "seventy-nine billion, eight hundred twenty-nine million, four hundred sixteen thousand, six hundred eighty-one".