163817660160 has 1296 divisors, whose sum is σ = 723326403072. Its totient is φ = 33502740480.

The previous prime is 163817660141. The next prime is 163817660177. The reversal of 163817660160 is 61066718361.

163817660160 is a `hidden beast` number, since 1 + 6 + 38 + 1 + 7 + 6 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1005016239 + ... + 1005016401.

Almost surely, 2^163817660160 is an apocalyptic number.

163817660160 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 163817660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361663201536).

163817660160 is an abundant number, since it is smaller than the sum of its proper divisors (559508742912).

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

163817660160 is a wasteful number, since it uses less digits than its factorization.

163817660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 163817660160 in words is "one hundred sixty-three billion, eight hundred seventeen million, six hundred sixty thousand, one hundred sixty".