18328609093872 has 320 divisors, whose sum is σ = 61027064017920. Its totient is φ = 4601948774400.

The previous prime is 18328609093829. The next prime is 18328609093877. The reversal of 18328609093872 is 27839090682381.

It is a super-2 number, since 2×18328609093872² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18328609093877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15962598 + ... + 17072250.

It is an arithmetic number, because the mean of its divisors is an integer number (190709575056).

Almost surely, 2^{18328609093872} is an apocalyptic number.

18328609093872 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 18328609093872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30513532008960).

18328609093872 is an abundant number, since it is smaller than the sum of its proper divisors (42698454924048).

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

18328609093872 is a wasteful number, since it uses less digits than its factorization.

18328609093872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109832 (or 1109826 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 18328609093872 in words is "eighteen trillion, three hundred twenty-eight billion, six hundred nine million, ninety-three thousand, eight hundred seventy-two".