18091152654336 has 180 divisors, whose sum is σ = 53247828413052. Its totient is φ = 5916600827904.

The previous prime is 18091152654329. The next prime is 18091152654353. The reversal of 18091152654336 is 63345625119081.

18091152654336 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 11 + 52 + 6 + 543 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6778316390400 + 11312836263936 = 2603520^2 + 3363456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6657730 + ... + 8972606.

Almost surely, 2^{18091152654336} is an apocalyptic number.

18091152654336 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 18091152654336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26623914206526).

18091152654336 is an abundant number, since it is smaller than the sum of its proper divisors (35156675758716).

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

18091152654336 is an equidigital number, since it uses as much as digits as its factorization.

18091152654336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314964 (or 2314935 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 18091152654336 in words is "eighteen trillion, ninety-one billion, one hundred fifty-two million, six hundred fifty-four thousand, three hundred thirty-six".