18933760000 has 225 divisors, whose sum is σ = 48443814111. Its totient is φ = 7397376000.

The previous prime is 18933759997. The next prime is 18933760007. The reversal of 18933760000 is 6733981.

The square root of 18933760000 is 137600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1484406784 + 17449353216 = 38528^2 + 132096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18933760007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 440319979 + ... + 440320021.

Almost surely, 2^18933760000 is an apocalyptic number.

18933760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18933760000 is the 137600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18933760000

18933760000 is an abundant number, since it is smaller than the sum of its proper divisors (29510054111).

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

18933760000 is an frugal number, since it uses more digits than its factorization.

18933760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 18933760000 in words is "eighteen billion, nine hundred thirty-three million, seven hundred sixty thousand".