18153018000 has 640 divisors, whose sum is σ = 73770278400. Its totient is φ = 4230144000.

The previous prime is 18153017983. The next prime is 18153018007. The reversal of 18153018000 is 81035181.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18153018007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13337320 + ... + 13338680.

It is an arithmetic number, because the mean of its divisors is an integer number (115266060).

Almost surely, 2^18153018000 is an apocalyptic number.

18153018000 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 18153018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36885139200).

18153018000 is an abundant number, since it is smaller than the sum of its proper divisors (55617260400).

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

18153018000 is a wasteful number, since it uses less digits than its factorization.

18153018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 18153018000 in words is "eighteen billion, one hundred fifty-three million, eighteen thousand".