18604960000 has 405 divisors, whose sum is σ = 52707549279. Its totient is φ = 6547200000.

The previous prime is 18604959979. The next prime is 18604960007. The reversal of 18604960000 is 6940681.

The square root of 18604960000 is 136400.

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 1458628864 + 17146331136 = 38192^2 + 130944^2 .

It is a super-2 number, since 2×18604960000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18604960007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 600159985 + ... + 600160015.

Almost surely, 2^18604960000 is an apocalyptic number.

18604960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18604960000 is the 136400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18604960000

18604960000 is an abundant number, since it is smaller than the sum of its proper divisors (34102589279).

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

18604960000 is an frugal number, since it uses more digits than its factorization.

18604960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 18604960000 in words is "eighteen billion, six hundred four million, nine hundred sixty thousand".