18799039332864 has 1600 divisors, whose sum is σ = 68328216000000. Its totient is φ = 5137349640192.

The previous prime is 18799039332863. The next prime is 18799039332869. The reversal of 18799039332864 is 46823393099781.

18799039332864 is a `hidden beast` number, since 1 + 8 + 79 + 90 + 3 + 93 + 328 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18799039332792 and 18799039332801.

It is not an unprimeable number, because it can be changed into a prime (18799039332863) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82091874702 + ... + 82091874930.

It is an arithmetic number, because the mean of its divisors is an integer number (42705135000).

Almost surely, 2^{18799039332864} is an apocalyptic number.

18799039332864 is a gapful number since it is divisible by the number (14) 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 18799039332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34164108000000).

18799039332864 is an abundant number, since it is smaller than the sum of its proper divisors (49529176667136).

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

18799039332864 is an equidigital number, since it uses as much as digits as its factorization.

18799039332864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 18799039332864 in words is "eighteen trillion, seven hundred ninety-nine billion, thirty-nine million, three hundred thirty-two thousand, eight hundred sixty-four".