18219931805376 has 784 divisors, whose sum is σ = 63013708750080. Its totient is φ = 5117252474880.

The previous prime is 18219931805329. The next prime is 18219931805419. The reversal of 18219931805376 is 67350813991281.

18219931805376 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 9 + 93 + 1 + 8 + 0 + 537 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 111 ways as a sum of consecutive naturals, for example, 4663405215 + ... + 4663409121.

Almost surely, 2^{18219931805376} is an apocalyptic number.

18219931805376 is a gapful number since it is divisible by the number (16) 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 18219931805376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31506854375040).

18219931805376 is an abundant number, since it is smaller than the sum of its proper divisors (44793776944704).

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

18219931805376 is a wasteful number, since it uses less digits than its factorization.

18219931805376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 18219931805376 in words is "eighteen trillion, two hundred nineteen billion, nine hundred thirty-one million, eight hundred five thousand, three hundred seventy-six".