18726912000 has 432 divisors, whose sum is σ = 68048128512. Its totient is φ = 4954521600.

The previous prime is 18726911947. The next prime is 18726912013. The reversal of 18726912000 is 21962781.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147455937 + ... + 147456063.

It is an arithmetic number, because the mean of its divisors is an integer number (157518816).

Almost surely, 2^18726912000 is an apocalyptic number.

18726912000 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 18726912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34024064256).

18726912000 is an abundant number, since it is smaller than the sum of its proper divisors (49321216512).

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

18726912000 is an frugal number, since it uses more digits than its factorization.

18726912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 18726912000 in words is "eighteen billion, seven hundred twenty-six million, nine hundred twelve thousand".