18124992000 has 640 divisors, whose sum is σ = 71010276480. Its totient is φ = 4541644800.

The previous prime is 18124991999. The next prime is 18124992007. The reversal of 18124992000 is 29942181.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18124992007) 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 63 ways as a sum of consecutive naturals, for example, 29375692 + ... + 29376308.

It is an arithmetic number, because the mean of its divisors is an integer number (110953557).

Almost surely, 2^18124992000 is an apocalyptic number.

18124992000 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 18124992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35505138240).

18124992000 is an abundant number, since it is smaller than the sum of its proper divisors (52885284480).

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

18124992000 is an equidigital number, since it uses as much as digits as its factorization.

18124992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 18124992000 in words is "eighteen billion, one hundred twenty-four million, nine hundred ninety-two thousand".