18136290816 has 360 divisors, whose sum is σ = 62220169440. Its totient is φ = 5068578816.

The previous prime is 18136290793. The next prime is 18136290833. The reversal of 18136290816 is 61809263181.

18136290816 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 629 + 0 + 8 + 16 = 666.

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 35 ways as a sum of consecutive naturals, for example, 10611370 + ... + 10613078.

It is an arithmetic number, because the mean of its divisors is an integer number (172833804).

Almost surely, 2^18136290816 is an apocalyptic number.

18136290816 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 18136290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31110084720).

18136290816 is an abundant number, since it is smaller than the sum of its proper divisors (44083878624).

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

18136290816 is a wasteful number, since it uses less digits than its factorization.

18136290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 18136290816 in words is "eighteen billion, one hundred thirty-six million, two hundred ninety thousand, eight hundred sixteen".