18032257152 has 384 divisors, whose sum is σ = 66679603200. Its totient is φ = 4755179520.

The previous prime is 18032257129. The next prime is 18032257183. The reversal of 18032257152 is 25175223081.

18032257152 is a `hidden beast` number, since 1 + 8 + 0 + 32 + 2 + 571 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×18032257152² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2197377 + ... + 2205567.

It is an arithmetic number, because the mean of its divisors is an integer number (173644800).

Almost surely, 2^18032257152 is an apocalyptic number.

18032257152 is a gapful number since it is divisible by the number (12) 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 18032257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33339801600).

18032257152 is an abundant number, since it is smaller than the sum of its proper divisors (48647346048).

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

18032257152 is a wasteful number, since it uses less digits than its factorization.

18032257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 18032257152 in words is "eighteen billion, thirty-two million, two hundred fifty-seven thousand, one hundred fifty-two".