18408933130752 has 960 divisors, whose sum is σ = 61909317550080. Its totient is φ = 5426798985216.

The previous prime is 18408933130751. The next prime is 18408933130799. The reversal of 18408933130752 is 25703133980481.

18408933130752 is a `hidden beast` number, since 1 + 8 + 408 + 9 + 33 + 130 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18408933130751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5103666933 + ... + 5103670539.

It is an arithmetic number, because the mean of its divisors is an integer number (64488872448).

Almost surely, 2^{18408933130752} is an apocalyptic number.

18408933130752 is a gapful number since it is divisible by the number (12) 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 18408933130752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30954658775040).

18408933130752 is an abundant number, since it is smaller than the sum of its proper divisors (43500384419328).

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

18408933130752 is a wasteful number, since it uses less digits than its factorization.

18408933130752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 18408933130752 in words is "eighteen trillion, four hundred eight billion, nine hundred thirty-three million, one hundred thirty thousand, seven hundred fifty-two".