79249218048 has 1600 divisors, whose sum is σ = 335390533632. Its totient is φ = 17955717120.

The previous prime is 79249218043. The next prime is 79249218067. The reversal of 79249218048 is 84081294297.

79249218048 is a `hidden beast` number, since 79 + 2 + 492 + 1 + 80 + 4 + 8 = 666.

It is a super-2 number, since 2×79249218048² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 79249217985 and 79249218003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79249218043) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 954809815 + ... + 954809897.

Almost surely, 2^79249218048 is an apocalyptic number.

79249218048 is a gapful number since it is divisible by the number (78) 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 79249218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167695266816).

79249218048 is an abundant number, since it is smaller than the sum of its proper divisors (256141315584).

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

79249218048 is a wasteful number, since it uses less digits than its factorization.

79249218048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 79249218048 in words is "seventy-nine billion, two hundred forty-nine million, two hundred eighteen thousand, forty-eight".