18129332160 has 168 divisors, whose sum is σ = 62436725520. Its totient is φ = 4828336128.

The previous prime is 18129332141. The next prime is 18129332167. The reversal of 18129332160 is 6123392181.

18129332160 is a `hidden beast` number, since 181 + 293 + 32 + 160 = 666.

It is a super-2 number, since 2×18129332160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18129332167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2539476 + ... + 2546604.

Almost surely, 2^18129332160 is an apocalyptic number.

18129332160 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 18129332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31218362760).

18129332160 is an abundant number, since it is smaller than the sum of its proper divisors (44307393360).

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

18129332160 is a wasteful number, since it uses less digits than its factorization.

18129332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8035 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 18129332160 in words is "eighteen billion, one hundred twenty-nine million, three hundred thirty-two thousand, one hundred sixty".