163681015680000 has 6600 divisors, whose sum is σ = 805424647385952. Its totient is φ = 32296402944000.

The previous prime is 163681015679977. The next prime is 163681015680023. The reversal of 163681015680000 is 86510186361.

163681015680000 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 81 + 0 + 1 + 568 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (163681015679977) and next prime (163681015680023).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 1042554239922 + ... + 1042554240078.

Almost surely, 2^{163681015680000} is an apocalyptic number.

163681015680000 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 163681015680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402712323692976).

163681015680000 is an abundant number, since it is smaller than the sum of its proper divisors (641743631705952).

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

163681015680000 is a wasteful number, since it uses less digits than its factorization.

163681015680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 163681015680000 in words is "one hundred sixty-three trillion, six hundred eighty-one billion, fifteen million, six hundred eighty thousand".