168663847822848 has 1120 divisors, whose sum is σ = 616637378396160. Its totient is φ = 45026429091840.

The previous prime is 168663847822787. The next prime is 168663847822991. The reversal of 168663847822848 is 848228748366861.

168663847822848 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 6 + 384 + 7 + 8 + 228 + 4 + 8 = 666.

It is a super-2 number, since 2×168663847822848² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2348813761 + ... + 2348885567.

Almost surely, 2^{168663847822848} is an apocalyptic number.

168663847822848 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 168663847822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308318689198080).

168663847822848 is an abundant number, since it is smaller than the sum of its proper divisors (447973530573312).

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

168663847822848 is an frugal number, since it uses more digits than its factorization.

168663847822848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71910 (or 71879 counting only the distinct ones).

The product of its digits is 9512681472, while the sum is 81.

The spelling of 168663847822848 in words is "one hundred sixty-eight trillion, six hundred sixty-three billion, eight hundred forty-seven million, eight hundred twenty-two thousand, eight hundred forty-eight".