18675394231680 has 2048 divisors, whose sum is σ = 72201507840000. Its totient is φ = 4553601712128.

The previous prime is 18675394231667. The next prime is 18675394231691. The reversal of 18675394231680 is 8613249357681.

18675394231680 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 5 + 394 + 231 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 125338216246 + ... + 125338216394.

It is an arithmetic number, because the mean of its divisors is an integer number (35254642500).

It is a 1-persistent number, because it is pandigital, but 2⋅18675394231680 = 37350788463360 is not.

Almost surely, 2^{18675394231680} is an apocalyptic number.

18675394231680 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 18675394231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36100753920000).

18675394231680 is an abundant number, since it is smaller than the sum of its proper divisors (53526113608320).

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

18675394231680 is a wasteful number, since it uses less digits than its factorization.

18675394231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 18675394231680 in words is "eighteen trillion, six hundred seventy-five billion, three hundred ninety-four million, two hundred thirty-one thousand, six hundred eighty".