166872300816312 has 768 divisors, whose sum is σ = 585875101593600. Its totient is φ = 41723175997440.

The previous prime is 166872300816271. The next prime is 166872300816371. The reversal of 166872300816312 is 213618003278661.

166872300816312 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 7 + 2 + 300 + 8 + 16 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6803604193 + ... + 6803628719.

It is an arithmetic number, because the mean of its divisors is an integer number (762858205200).

Almost surely, 2^{166872300816312} is an apocalyptic number.

166872300816312 is a gapful number since it is divisible by the number (12) 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 166872300816312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292937550796800).

166872300816312 is an abundant number, since it is smaller than the sum of its proper divisors (419002800777288).

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

166872300816312 is a wasteful number, since it uses less digits than its factorization.

166872300816312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25236 (or 25229 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 166872300816312 in words is "one hundred sixty-six trillion, eight hundred seventy-two billion, three hundred million, eight hundred sixteen thousand, three hundred twelve".