18381956099832 has 192 divisors, whose sum is σ = 54008842524000. Its totient is φ = 5614350630912.

The previous prime is 18381956099813. The next prime is 18381956099849. The reversal of 18381956099832 is 23899065918381.

18381956099832 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 1 + 9 + 5 + 609 + 9 + 8 + 3 + 2 = 666.

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

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, 1495799544 + ... + 1495811832.

Almost surely, 2^{18381956099832} is an apocalyptic number.

18381956099832 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 18381956099832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27004421262000).

18381956099832 is an abundant number, since it is smaller than the sum of its proper divisors (35626886424168).

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

18381956099832 is a wasteful number, since it uses less digits than its factorization.

18381956099832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23950 (or 23943 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 18381956099832 in words is "eighteen trillion, three hundred eighty-one billion, nine hundred fifty-six million, ninety-nine thousand, eight hundred thirty-two".