18345829320 has 576 divisors, whose sum is σ = 77486310720. Its totient is φ = 3869462016.

The previous prime is 18345829309. The next prime is 18345829351. The reversal of 18345829320 is 2392854381.

18345829320 is a `hidden beast` number, since 1 + 8 + 34 + 582 + 9 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6190159 + ... + 6193121.

It is an arithmetic number, because the mean of its divisors is an integer number (134524845).

Almost surely, 2^18345829320 is an apocalyptic number.

18345829320 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 18345829320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38743155360).

18345829320 is an abundant number, since it is smaller than the sum of its proper divisors (59140481400).

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

18345829320 is a wasteful number, since it uses less digits than its factorization.

18345829320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18345829320 in words is "eighteen billion, three hundred forty-five million, eight hundred twenty-nine thousand, three hundred twenty".