18328965120 has 624 divisors, whose sum is σ = 68694312960. Its totient is φ = 4682022912.

The previous prime is 18328965119. The next prime is 18328965139. The reversal of 18328965120 is 2156982381.

18328965120 is a `hidden beast` number, since 18 + 32 + 8 + 96 + 512 + 0 = 666.

It is a super-2 number, since 2×18328965120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144322497 + ... + 144322623.

It is an arithmetic number, because the mean of its divisors is an integer number (110087040).

Almost surely, 2^18328965120 is an apocalyptic number.

18328965120 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 18328965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34347156480).

18328965120 is an abundant number, since it is smaller than the sum of its proper divisors (50365347840).

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

18328965120 is an equidigital number, since it uses as much as digits as its factorization.

18328965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18328965120 in words is "eighteen billion, three hundred twenty-eight million, nine hundred sixty-five thousand, one hundred twenty".