163744224658560 has 1792 divisors, whose sum is σ = 724729494827520. Its totient is φ = 34434367488000.

The previous prime is 163744224658541. The next prime is 163744224658561. The reversal of 163744224658560 is 65856422447361.

163744224658560 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 4 + 4 + 2 + 2 + 4 + 65 + 8 + 560 = 666.

It is a super-2 number, since 2×163744224658560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (163744224658561) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13204108360 + ... + 13204120760.

It is an arithmetic number, because the mean of its divisors is an integer number (404424941310).

Almost surely, 2^{163744224658560} is an apocalyptic number.

163744224658560 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 163744224658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362364747413760).

163744224658560 is an abundant number, since it is smaller than the sum of its proper divisors (560985270168960).

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

163744224658560 is a wasteful number, since it uses less digits than its factorization.

163744224658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769 (or 12742 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 163744224658560 in words is "one hundred sixty-three trillion, seven hundred forty-four billion, two hundred twenty-four million, six hundred fifty-eight thousand, five hundred sixty".