18621308160 has 1152 divisors, whose sum is σ = 84392017920. Its totient is φ = 3782246400.

The previous prime is 18621308141. The next prime is 18621308177. The reversal of 18621308160 is 6180312681.

18621308160 is a `hidden beast` number, since 18 + 621 + 3 + 0 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 97493665 + ... + 97493855.

It is an arithmetic number, because the mean of its divisors is an integer number (73256960).

Almost surely, 2^18621308160 is an apocalyptic number.

18621308160 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 18621308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42196008960).

18621308160 is an abundant number, since it is smaller than the sum of its proper divisors (65770709760).

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

18621308160 is a wasteful number, since it uses less digits than its factorization.

18621308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 18621308160 in words is "eighteen billion, six hundred twenty-one million, three hundred eight thousand, one hundred sixty".