79819746195456 has 960 divisors, whose sum is σ = 255008761207200. Its totient is φ = 24890780418048.

The previous prime is 79819746195377. The next prime is 79819746195457. The reversal of 79819746195456 is 65459164791897.

79819746195456 is a `hidden beast` number, since 7 + 9 + 8 + 1 + 9 + 7 + 4 + 61 + 9 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (4115059200) is a multiple of the sum of its prime factors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79819746195457) 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 79 ways as a sum of consecutive naturals, for example, 184341215016 + ... + 184341215448.

Almost surely, 2^{79819746195456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79819746195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127504380603600).

79819746195456 is an abundant number, since it is smaller than the sum of its proper divisors (175189015011744).

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

79819746195456 is an frugal number, since it uses more digits than its factorization.

79819746195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 724 counting only the distinct ones).

The product of its digits is 4115059200, while the sum is 81.

The spelling of 79819746195456 in words is "seventy-nine trillion, eight hundred nineteen billion, seven hundred forty-six million, one hundred ninety-five thousand, four hundred fifty-six".