18379142058816 has 1344 divisors, whose sum is σ = 70053304688640. Its totient is φ = 4466253496320.

The previous prime is 18379142058757. The next prime is 18379142058863. The reversal of 18379142058816 is 61885024197381.

18379142058816 is a `hidden beast` number, since 1 + 8 + 3 + 7 + 9 + 1 + 42 + 0 + 588 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8806487725 + ... + 8806489811.

It is an arithmetic number, because the mean of its divisors is an integer number (52122994560).

It is a 1-persistent number, because it is pandigital, but 2⋅18379142058816 = 36758284117632 is not.

Almost surely, 2^{18379142058816} is an apocalyptic number.

18379142058816 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 18379142058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35026652344320).

18379142058816 is an abundant number, since it is smaller than the sum of its proper divisors (51674162629824).

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

18379142058816 is a wasteful number, since it uses less digits than its factorization.

18379142058816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 18379142058816 in words is "eighteen trillion, three hundred seventy-nine billion, one hundred forty-two million, fifty-eight thousand, eight hundred sixteen".