79222317318144 has 2720 divisors, whose sum is σ = 336866847964416. Its totient is φ = 17856662077440.

The previous prime is 79222317318121. The next prime is 79222317318169. The reversal of 79222317318144 is 44181371322297.

79222317318144 is a `hidden beast` number, since 7 + 9 + 2 + 2 + 2 + 317 + 318 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×79222317318144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90333314634 + ... + 90333315510.

Almost surely, 2^{79222317318144} 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 79222317318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168433423982208).

79222317318144 is an abundant number, since it is smaller than the sum of its proper divisors (257644530646272).

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

79222317318144 is a wasteful number, since it uses less digits than its factorization.

79222317318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 930 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 79222317318144 in words is "seventy-nine trillion, two hundred twenty-two billion, three hundred seventeen million, three hundred eighteen thousand, one hundred forty-four".