18991104000 has 480 divisors, whose sum is σ = 69191321472. Its totient is φ = 4587520000.

The previous prime is 18991103993. The next prime is 18991104007. The reversal of 18991104000 is 40119981.

It is an interprime number because it is at equal distance from previous prime (18991103993) and next prime (18991104007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×18991104000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18991104007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67583860 + ... + 67584140.

Almost surely, 2^18991104000 is an apocalyptic number.

18991104000 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 18991104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34595660736).

18991104000 is an abundant number, since it is smaller than the sum of its proper divisors (50200217472).

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

18991104000 is an equidigital number, since it uses as much as digits as its factorization.

18991104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 18991104000 in words is "eighteen billion, nine hundred ninety-one million, one hundred four thousand".