12164446080 has 512 divisors, whose sum is σ = 45497548800. Its totient is φ = 3065610240.

The previous prime is 12164446079. The next prime is 12164446123. The reversal of 12164446080 is 8064446121.

It is a happy number.

12164446080 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 4 + 44 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 50474760 + ... + 50475000.

It is an arithmetic number, because the mean of its divisors is an integer number (88862400).

Almost surely, 2^12164446080 is an apocalyptic number.

12164446080 is a gapful number since it is divisible by the number (10) 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 12164446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748774400).

12164446080 is an abundant number, since it is smaller than the sum of its proper divisors (33333102720).

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

12164446080 is a wasteful number, since it uses less digits than its factorization.

12164446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12164446080 in words is "twelve billion, one hundred sixty-four million, four hundred forty-six thousand, eighty".