12161769984 has 720 divisors, whose sum is σ = 45792819072. Its totient is φ = 3036413952.

The previous prime is 12161769959. The next prime is 12161770001. The reversal of 12161769984 is 48996716121.

12161769984 is a `hidden beast` number, since 12 + 1 + 617 + 6 + 9 + 9 + 8 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12161769984.

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, 125379024 + ... + 125379120.

Almost surely, 2^12161769984 is an apocalyptic number.

12161769984 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 12161769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22896409536).

12161769984 is an abundant number, since it is smaller than the sum of its proper divisors (33631049088).

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

12161769984 is a wasteful number, since it uses less digits than its factorization.

12161769984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 12161769984 in words is "twelve billion, one hundred sixty-one million, seven hundred sixty-nine thousand, nine hundred eighty-four".