18161217360 has 960 divisors, whose sum is σ = 76435107840. Its totient is φ = 3948963840.

The previous prime is 18161217353. The next prime is 18161217377. The reversal of 18161217360 is 6371216181.

18161217360 is a `hidden beast` number, since 1 + 8 + 1 + 612 + 1 + 7 + 36 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 130656171 + ... + 130656309.

It is an arithmetic number, because the mean of its divisors is an integer number (79619904).

Almost surely, 2^18161217360 is an apocalyptic number.

18161217360 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 18161217360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38217553920).

18161217360 is an abundant number, since it is smaller than the sum of its proper divisors (58273890480).

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

18161217360 is a wasteful number, since it uses less digits than its factorization.

18161217360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 18161217360 in words is "eighteen billion, one hundred sixty-one million, two hundred seventeen thousand, three hundred sixty".