18092661120 has 256 divisors, whose sum is σ = 66865651200. Its totient is φ = 4614838272.

The previous prime is 18092661109. The next prime is 18092661187. The reversal of 18092661120 is 2116629081.

18092661120 is a `hidden beast` number, since 18 + 0 + 9 + 2 + 6 + 611 + 20 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374679 + ... + 420201.

It is an arithmetic number, because the mean of its divisors is an integer number (261193950).

Almost surely, 2^18092661120 is an apocalyptic number.

18092661120 is a gapful number since it is divisible by the number (10) 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 18092661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33432825600).

18092661120 is an abundant number, since it is smaller than the sum of its proper divisors (48772990080).

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

18092661120 is a wasteful number, since it uses less digits than its factorization.

18092661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45574 (or 45556 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 18092661120 in words is "eighteen billion, ninety-two million, six hundred sixty-one thousand, one hundred twenty".