163538141661440 has 576 divisors, whose sum is σ = 529563209011200. Its totient is φ = 46901179809792.

The previous prime is 163538141661403. The next prime is 163538141661487. The reversal of 163538141661440 is 44166141835361.

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, 49295351 + ... + 52508169.

It is an arithmetic number, because the mean of its divisors is an integer number (919380571200).

Almost surely, 2^{163538141661440} is an apocalyptic number.

163538141661440 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 163538141661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264781604505600).

163538141661440 is an abundant number, since it is smaller than the sum of its proper divisors (366025067349760).

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

163538141661440 is a wasteful number, since it uses less digits than its factorization.

163538141661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212902 (or 3212888 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 163538141661440 in words is "one hundred sixty-three trillion, five hundred thirty-eight billion, one hundred forty-one million, six hundred sixty-one thousand, four hundred forty".