18268650632160 has 384 divisors, whose sum is σ = 67469988096000. Its totient is φ = 4607469858816.

The previous prime is 18268650632149. The next prime is 18268650632203. The reversal of 18268650632160 is 6123605686281.

18268650632160 is a `hidden beast` number, since 1 + 8 + 26 + 86 + 506 + 32 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18268650632097 and 18268650632106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7810101 + ... + 9875979.

It is an arithmetic number, because the mean of its divisors is an integer number (175703094000).

Almost surely, 2^{18268650632160} is an apocalyptic number.

18268650632160 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 18268650632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33734994048000).

18268650632160 is an abundant number, since it is smaller than the sum of its proper divisors (49201337463840).

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

18268650632160 is a wasteful number, since it uses less digits than its factorization.

18268650632160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066015 (or 2066001 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 18268650632160 in words is "eighteen trillion, two hundred sixty-eight billion, six hundred fifty million, six hundred thirty-two thousand, one hundred sixty".