12166019964504 has 384 divisors, whose sum is σ = 39144936230400. Its totient is φ = 3341047357440.

The previous prime is 12166019964499. The next prime is 12166019964521. The reversal of 12166019964504 is 40546991066121.

12166019964504 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 60 + 19 + 9 + 64 + 504 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1032850887 + ... + 1032862665.

It is an arithmetic number, because the mean of its divisors is an integer number (101939938100).

Almost surely, 2^{12166019964504} is an apocalyptic number.

12166019964504 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 12166019964504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19572468115200).

12166019964504 is an abundant number, since it is smaller than the sum of its proper divisors (26978916265896).

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

12166019964504 is a wasteful number, since it uses less digits than its factorization.

12166019964504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12503 (or 12496 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 12166019964504 in words is "twelve trillion, one hundred sixty-six billion, nineteen million, nine hundred sixty-four thousand, five hundred four".