12269561411646 has 288 divisors, whose sum is σ = 34545652727040. Its totient is φ = 3054874291200.

The previous prime is 12269561411641. The next prime is 12269561411719. The reversal of 12269561411646 is 64611416596221.

12269561411646 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 9 + 5 + 614 + 1 + 16 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12269561411592 and 12269561411601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12269561411641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6413779186 + ... + 6413781098.

It is an arithmetic number, because the mean of its divisors is an integer number (119950183080).

Almost surely, 2^{12269561411646} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12269561411646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17272826363520).

12269561411646 is an abundant number, since it is smaller than the sum of its proper divisors (22276091315394).

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

12269561411646 is a wasteful number, since it uses less digits than its factorization.

12269561411646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 2036 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 12269561411646 in words is "twelve trillion, two hundred sixty-nine billion, five hundred sixty-one million, four hundred eleven thousand, six hundred forty-six".