163648704061440 has 336 divisors, whose sum is σ = 610917889975848. Its totient is φ = 40282756743168.

The previous prime is 163648704061433. The next prime is 163648704061463. The reversal of 163648704061440 is 44160407846361.

163648704061440 is a `hidden beast` number, since 1 + 6 + 3 + 64 + 87 + 0 + 4 + 0 + 61 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109338643206144 + 54310060855296 = 10456512^2 + 7369536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12281739 + ... + 21866378.

Almost surely, 2^{163648704061440} is an apocalyptic number.

163648704061440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163648704061440 is an abundant number, since it is smaller than the sum of its proper divisors (447269185914408).

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

163648704061440 is a wasteful number, since it uses less digits than its factorization.

163648704061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34148167 (or 34148140 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 163648704061440 in words is "one hundred sixty-three trillion, six hundred forty-eight billion, seven hundred four million, sixty-one thousand, four hundred forty".