79116141312 has 432 divisors, whose sum is σ = 256524861600. Its totient is φ = 24038277120.

The previous prime is 79116141311. The next prime is 79116141343. The reversal of 79116141312 is 21314161197.

79116141312 is a `hidden beast` number, since 7 + 9 + 1 + 1 + 614 + 1 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×79116141312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (79116141311) 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 47 ways as a sum of consecutive naturals, for example, 103963012 + ... + 103963772.

It is an arithmetic number, because the mean of its divisors is an integer number (593807550).

Almost surely, 2^79116141312 is an apocalyptic number.

79116141312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79116141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128262430800).

79116141312 is an abundant number, since it is smaller than the sum of its proper divisors (177408720288).

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

79116141312 is a wasteful number, since it uses less digits than its factorization.

79116141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 868 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The spelling of 79116141312 in words is "seventy-nine billion, one hundred sixteen million, one hundred forty-one thousand, three hundred twelve".