163242882811008 has 2048 divisors, whose sum is σ = 653811056640000. Its totient is φ = 38722512568320.

The previous prime is 163242882811007. The next prime is 163242882811181. The reversal of 163242882811008 is 800118288242361.

163242882811008 is a `hidden beast` number, since 1 + 6 + 32 + 428 + 8 + 2 + 81 + 100 + 8 = 666.

It is a super-2 number, since 2×163242882811008² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (163242882811003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147998986585 + ... + 147998987687.

It is an arithmetic number, because the mean of its divisors is an integer number (319243680000).

Almost surely, 2^{163242882811008} is an apocalyptic number.

163242882811008 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 163242882811008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326905528320000).

163242882811008 is an abundant number, since it is smaller than the sum of its proper divisors (490568173828992).

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

163242882811008 is a wasteful number, since it uses less digits than its factorization.

163242882811008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 163242882811008 in words is "one hundred sixty-three trillion, two hundred forty-two billion, eight hundred eighty-two million, eight hundred eleven thousand, eight".