18634412160 has 768 divisors, whose sum is σ = 80445980160. Its totient is φ = 3869835264.

The previous prime is 18634412129. The next prime is 18634412197. The reversal of 18634412160 is 6121443681.

18634412160 is a `hidden beast` number, since 1 + 8 + 634 + 4 + 1 + 2 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38263437 + ... + 38263923.

It is an arithmetic number, because the mean of its divisors is an integer number (104747370).

Almost surely, 2^18634412160 is an apocalyptic number.

18634412160 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 18634412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40222990080).

18634412160 is an abundant number, since it is smaller than the sum of its proper divisors (61811568000).

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

18634412160 is a wasteful number, since it uses less digits than its factorization.

18634412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18634412160 in words is "eighteen billion, six hundred thirty-four million, four hundred twelve thousand, one hundred sixty".