18539906413728 has 384 divisors, whose sum is σ = 57496020825600. Its totient is φ = 5121464205312.

The previous prime is 18539906413709. The next prime is 18539906413747. The reversal of 18539906413728 is 82731460993581.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18539906413709) and next prime (18539906413747).

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 63 ways as a sum of consecutive naturals, for example, 3871349958 + ... + 3871354746.

It is an arithmetic number, because the mean of its divisors is an integer number (149729220900).

It is a 2-persistent number, because it is pandigital, and so is 2⋅18539906413728 = 37079812827456, but 3⋅18539906413728 = 55619719241184 is not.

Almost surely, 2^{18539906413728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18539906413728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28748010412800).

18539906413728 is an abundant number, since it is smaller than the sum of its proper divisors (38956114411872).

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

18539906413728 is a wasteful number, since it uses less digits than its factorization.

18539906413728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 18539906413728 in words is "eighteen trillion, five hundred thirty-nine billion, nine hundred six million, four hundred thirteen thousand, seven hundred twenty-eight".