18379167028992 has 432 divisors, whose sum is σ = 67415884972800. Its totient is φ = 4773807360000.

The previous prime is 18379167028933. The next prime is 18379167029009. The reversal of 18379167028992 is 29982076197381.

18379167028992 is a `hidden beast` number, since 1 + 8 + 379 + 167 + 0 + 2 + 8 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 18379167028992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7635867 + ... + 9750117.

Almost surely, 2^{18379167028992} is an apocalyptic number.

18379167028992 is a gapful number since it is divisible by the number (12) 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 18379167028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33707942486400).

18379167028992 is an abundant number, since it is smaller than the sum of its proper divisors (49036717943808).

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

18379167028992 is a wasteful number, since it uses less digits than its factorization.

18379167028992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114305 (or 2114274 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 18379167028992 in words is "eighteen trillion, three hundred seventy-nine billion, one hundred sixty-seven million, twenty-eight thousand, nine hundred ninety-two".