12166883807616 has 512 divisors, whose sum is σ = 39217400640000. Its totient is φ = 3698793455616.

The previous prime is 12166883807579. The next prime is 12166883807621. The reversal of 12166883807616 is 61670838866121.

12166883807616 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 6 + 8 + 8 + 3 + 8 + 0 + 7 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660767626 + ... + 660786038.

It is an arithmetic number, because the mean of its divisors is an integer number (76596485625).

Almost surely, 2^{12166883807616} is an apocalyptic number.

12166883807616 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 12166883807616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608700320000).

12166883807616 is an abundant number, since it is smaller than the sum of its proper divisors (27050516832384).

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

12166883807616 is a wasteful number, since it uses less digits than its factorization.

12166883807616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18831 (or 18813 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 12166883807616 in words is "twelve trillion, one hundred sixty-six billion, eight hundred eighty-three million, eight hundred seven thousand, six hundred sixteen".