18822113038080 has 648 divisors, whose sum is σ = 74978852785200. Its totient is φ = 4322771435520.

The previous prime is 18822113038063. The next prime is 18822113038087. The reversal of 18822113038080 is 8083031122881.

18822113038080 is a `hidden beast` number, since 1 + 8 + 82 + 2 + 113 + 0 + 380 + 80 = 666.

It is a super-2 number, since 2×18822113038080² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18822113038087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45540196 + ... + 45951644.

It is an arithmetic number, because the mean of its divisors is an integer number (115708106150).

Almost surely, 2^{18822113038080} is an apocalyptic number.

18822113038080 is a gapful number since it is divisible by the number (10) 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 18822113038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37489426392600).

18822113038080 is an abundant number, since it is smaller than the sum of its proper divisors (56156739747120).

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

18822113038080 is a wasteful number, since it uses less digits than its factorization.

18822113038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411525 (or 411489 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 18822113038080 in words is "eighteen trillion, eight hundred twenty-two billion, one hundred thirteen million, thirty-eight thousand, eighty".