166768245759456 has 432 divisors, whose sum is σ = 524249775543312. Its totient is φ = 49867827609600.

The previous prime is 166768245759421. The next prime is 166768245759461. The reversal of 166768245759456 is 654957542867661.

166768245759456 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 68 + 2 + 4 + 57 + 59 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19434589086 + ... + 19434597666.

It is an arithmetic number, because the mean of its divisors is an integer number (1213541147091).

Almost surely, 2^{166768245759456} is an apocalyptic number.

166768245759456 is a gapful number since it is divisible by the number (16) 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 166768245759456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262124887771656).

166768245759456 is an abundant number, since it is smaller than the sum of its proper divisors (357481529783856).

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

166768245759456 is a wasteful number, since it uses less digits than its factorization.

166768245759456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 8943 counting only the distinct ones).

The product of its digits is 18289152000, while the sum is 81.

The spelling of 166768245759456 in words is "one hundred sixty-six trillion, seven hundred sixty-eight billion, two hundred forty-five million, seven hundred fifty-nine thousand, four hundred fifty-six".