168591590866944 has 2880 divisors, whose sum is σ = 644869659033600. Its totient is φ = 42908733407232.

The previous prime is 168591590866931. The next prime is 168591590866987. The reversal of 168591590866944 is 449668095195861.

It is a happy number.

168591590866944 is a `hidden beast` number, since 16 + 8 + 5 + 9 + 1 + 590 + 8 + 6 + 6 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×168591590866944² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1327492841409 + ... + 1327492841535.

Almost surely, 2^{168591590866944} is an apocalyptic number.

168591590866944 is a gapful number since it is divisible by the number (14) 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 168591590866944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322434829516800).

168591590866944 is an abundant number, since it is smaller than the sum of its proper divisors (476278068166656).

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

168591590866944 is a wasteful number, since it uses less digits than its factorization.

168591590866944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 81.

The spelling of 168591590866944 in words is "one hundred sixty-eight trillion, five hundred ninety-one billion, five hundred ninety million, eight hundred sixty-six thousand, nine hundred forty-four".