163996225481088 has 1728 divisors, whose sum is σ = 650682175880880. Its totient is φ = 39186302238720.

The previous prime is 163996225481029. The next prime is 163996225481117. The reversal of 163996225481088 is 880184522699361.

163996225481088 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 9 + 62 + 2 + 5 + 481 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32845225920 + ... + 32845230912.

Almost surely, 2^{163996225481088} is an apocalyptic number.

163996225481088 is a gapful number since it is divisible by the number (18) 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 163996225481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325341087940440).

163996225481088 is an abundant number, since it is smaller than the sum of its proper divisors (486685950399792).

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

163996225481088 is a wasteful number, since it uses less digits than its factorization.

163996225481088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 163996225481088 in words is "one hundred sixty-three trillion, nine hundred ninety-six billion, two hundred twenty-five million, four hundred eighty-one thousand, eighty-eight".