18531973152000 has 4608 divisors, whose sum is σ = 91367545651200. Its totient is φ = 3627970560000.

The previous prime is 18531973151953. The next prime is 18531973152023. The reversal of 18531973152000 is 25137913581.

18531973152000 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 1 + 97 + 31 + 520 + 0 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 102386591910 + ... + 102386592090.

It is an arithmetic number, because the mean of its divisors is an integer number (19828026400).

Almost surely, 2^{18531973152000} is an apocalyptic number.

18531973152000 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 18531973152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45683772825600).

18531973152000 is an abundant number, since it is smaller than the sum of its proper divisors (72835572499200).

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

18531973152000 is an equidigital number, since it uses as much as digits as its factorization.

18531973152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 18531973152000 in words is "eighteen trillion, five hundred thirty-one billion, nine hundred seventy-three million, one hundred fifty-two thousand".