18905642082432 has 512 divisors, whose sum is σ = 64622217830400. Its totient is φ = 5396097844224.

The previous prime is 18905642082421. The next prime is 18905642082451. The reversal of 18905642082432 is 23428024650981.

18905642082432 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 564 + 20 + 8 + 24 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2161381483 + ... + 2161390229.

It is an arithmetic number, because the mean of its divisors is an integer number (126215269200).

Almost surely, 2^{18905642082432} is an apocalyptic number.

18905642082432 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 18905642082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32311108915200).

18905642082432 is an abundant number, since it is smaller than the sum of its proper divisors (45716575747968).

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

18905642082432 is an frugal number, since it uses more digits than its factorization.

18905642082432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9892 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 18905642082432 in words is "eighteen trillion, nine hundred five billion, six hundred forty-two million, eighty-two thousand, four hundred thirty-two".