18090369216 has 168 divisors, whose sum is σ = 54214349280. Its totient is φ = 5756534784.

The previous prime is 18090369191. The next prime is 18090369233. The reversal of 18090369216 is 61296309081.

It is a happy number.

18090369216 is a `hidden beast` number, since 180 + 90 + 369 + 21 + 6 = 666.

It is a super-2 number, since 2×18090369216² (a number of 21 digits) contains 22 as substring.

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, 8914890 + ... + 8916918.

It is an arithmetic number, because the mean of its divisors is an integer number (322704460).

Almost surely, 2^18090369216 is an apocalyptic number.

18090369216 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 18090369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27107174640).

18090369216 is an abundant number, since it is smaller than the sum of its proper divisors (36123980064).

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

18090369216 is a wasteful number, since it uses less digits than its factorization.

18090369216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 18090369216 in words is "eighteen billion, ninety million, three hundred sixty-nine thousand, two hundred sixteen".