12161693376 has 672 divisors, whose sum is σ = 44915328000. Its totient is φ = 3224309760.

The previous prime is 12161693353. The next prime is 12161693387. The reversal of 12161693376 is 67339616121.

It is a happy number.

12161693376 is a `hidden beast` number, since 1 + 21 + 616 + 9 + 3 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 171291421 + ... + 171291491.

Almost surely, 2^12161693376 is an apocalyptic number.

12161693376 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 12161693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22457664000).

12161693376 is an abundant number, since it is smaller than the sum of its proper divisors (32753634624).

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

12161693376 is an equidigital number, since it uses as much as digits as its factorization.

12161693376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 100 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 12161693376 in words is "twelve billion, one hundred sixty-one million, six hundred ninety-three thousand, three hundred seventy-six".