18450688000 has 96 divisors (see below), whose sum is σ = 46042312680. Its totient is φ = 7380172800.

The previous prime is 18450687947. The next prime is 18450688007. The reversal of 18450688000 is 88605481.

It can be written as a sum of positive squares in 4 ways, for example, as 10610648064 + 7840039936 = 103008^2 + 88544^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (18450688007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219964 + ... + 292036.

Almost surely, 2^18450688000 is an apocalyptic number.

18450688000 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 18450688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23021156340).

18450688000 is an abundant number, since it is smaller than the sum of its proper divisors (27591624680).

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

18450688000 is an frugal number, since it uses more digits than its factorization.

18450688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72110 (or 72080 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 18450688000 in words is "eighteen billion, four hundred fifty million, six hundred eighty-eight thousand".