18102148531200 has 3168 divisors, whose sum is σ = 74151240683520. Its totient is φ = 4364314214400.

The previous prime is 18102148531189. The next prime is 18102148531219. The reversal of 18102148531200 is 213584120181.

It is a happy number.

18102148531200 is a `hidden beast` number, since 1 + 8 + 102 + 14 + 8 + 531 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 306816076771 + ... + 306816076829.

Almost surely, 2^{18102148531200} is an apocalyptic number.

18102148531200 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 18102148531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37075620341760).

18102148531200 is an abundant number, since it is smaller than the sum of its proper divisors (56049092152320).

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

18102148531200 is a wasteful number, since it uses less digits than its factorization.

18102148531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 18102148531200 in words is "eighteen trillion, one hundred two billion, one hundred forty-eight million, five hundred thirty-one thousand, two hundred".