18533090016 has 144 divisors (see below), whose sum is σ = 60272529408. Its totient is φ = 5291654400.

The previous prime is 18533089997. The next prime is 18533090033. The reversal of 18533090016 is 61009033581.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 5463681 + ... + 5467071.

It is an arithmetic number, because the mean of its divisors is an integer number (418559232).

Almost surely, 2^18533090016 is an apocalyptic number.

18533090016 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 18533090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30136264704).

18533090016 is an abundant number, since it is smaller than the sum of its proper divisors (41739439392).

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

18533090016 is a wasteful number, since it uses less digits than its factorization.

18533090016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 18533090016 in words is "eighteen billion, five hundred thirty-three million, ninety thousand, sixteen".