18090553152 has 112 divisors (see below), whose sum is σ = 55519116800. Its totient is φ = 5091558912.

The previous prime is 18090553141. The next prime is 18090553157. The reversal of 18090553152 is 25135509081.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×18090553152² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18090553152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18090553157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10402 + ... + 190497.

It is an arithmetic number, because the mean of its divisors is an integer number (495706400).

Almost surely, 2^18090553152 is an apocalyptic number.

18090553152 is a gapful number since it is divisible by the number (12) 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 18090553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27759558400).

18090553152 is an abundant number, since it is smaller than the sum of its proper divisors (37428563648).

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

18090553152 is a wasteful number, since it uses less digits than its factorization.

18090553152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200988 (or 200978 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 18090553152 in words is "eighteen billion, ninety million, five hundred fifty-three thousand, one hundred fifty-two".