18179457244416 has 432 divisors, whose sum is σ = 57130295302080. Its totient is φ = 5526159851520.

The previous prime is 18179457244387. The next prime is 18179457244537. The reversal of 18179457244416 is 61444275497181.

18179457244416 is a `hidden beast` number, since 1 + 8 + 1 + 7 + 9 + 4 + 572 + 4 + 44 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4443766531 + ... + 4443770621.

It is an arithmetic number, because the mean of its divisors is an integer number (132246053940).

Almost surely, 2^{18179457244416} is an apocalyptic number.

18179457244416 is a gapful number since it is divisible by the number (16) 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 18179457244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28565147651040).

18179457244416 is an abundant number, since it is smaller than the sum of its proper divisors (38950838057664).

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

18179457244416 is a wasteful number, since it uses less digits than its factorization.

18179457244416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5865 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 18179457244416 in words is "eighteen trillion, one hundred seventy-nine billion, four hundred fifty-seven million, two hundred forty-four thousand, four hundred sixteen".