18606582816 has 96 divisors (see below), whose sum is σ = 50576400000. Its totient is φ = 5982412800.

The previous prime is 18606582809. The next prime is 18606582817. The reversal of 18606582816 is 61828560681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (18606582817) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3474541 + ... + 3479891.

It is an arithmetic number, because the mean of its divisors is an integer number (526837500).

Almost surely, 2^18606582816 is an apocalyptic number.

18606582816 is a gapful number since it is divisible by the number (16) 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 18606582816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25288200000).

18606582816 is an abundant number, since it is smaller than the sum of its proper divisors (31969817184).

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

18606582816 is a wasteful number, since it uses less digits than its factorization.

18606582816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 18606582816 in words is "eighteen billion, six hundred six million, five hundred eighty-two thousand, eight hundred sixteen".