18032632128 has 560 divisors, whose sum is σ = 63612003840. Its totient is φ = 4944789504.

The previous prime is 18032632103. The next prime is 18032632159. The reversal of 18032632128 is 82123623081.

18032632128 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 2 + 632 + 12 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18032632092 and 18032632101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165436938 + ... + 165437046.

It is an arithmetic number, because the mean of its divisors is an integer number (113592864).

Almost surely, 2^18032632128 is an apocalyptic number.

18032632128 is a gapful number since it is divisible by the number (18) 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 18032632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31806001920).

18032632128 is an abundant number, since it is smaller than the sum of its proper divisors (45579371712).

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

18032632128 is a wasteful number, since it uses less digits than its factorization.

18032632128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18032632128 in words is "eighteen billion, thirty-two million, six hundred thirty-two thousand, one hundred twenty-eight".