18432801000 has 192 divisors, whose sum is σ = 62431696080. Its totient is φ = 4905254400.

The previous prime is 18432800993. The next prime is 18432801031. The reversal of 18432801000 is 10823481.

It can be written as a sum of positive squares in 8 ways, for example, as 173765124 + 18259035876 = 13182^2 + 135126^2 .

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, 5011162 + ... + 5014838.

Almost surely, 2^18432801000 is an apocalyptic number.

18432801000 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 18432801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31215848040).

18432801000 is an abundant number, since it is smaller than the sum of its proper divisors (43998895080).

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

18432801000 is a wasteful number, since it uses less digits than its factorization.

18432801000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 18432801000 in words is "eighteen billion, four hundred thirty-two million, eight hundred one thousand".