12416161446 has 192 divisors, whose sum is σ = 31651663680. Its totient is φ = 3482542080.

The previous prime is 12416161427. The next prime is 12416161469. The reversal of 12416161446 is 64416161421.

12416161446 is a `hidden beast` number, since 1 + 24 + 1 + 616 + 14 + 4 + 6 = 666.

12416161446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12416161446² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12416161446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43873221 + ... + 43873503.

It is an arithmetic number, because the mean of its divisors is an integer number (164852415).

Almost surely, 2^12416161446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12416161446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825831840).

12416161446 is an abundant number, since it is smaller than the sum of its proper divisors (19235502234).

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

12416161446 is a wasteful number, since it uses less digits than its factorization.

12416161446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 628 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 12416161446 in words is "twelve billion, four hundred sixteen million, one hundred sixty-one thousand, four hundred forty-six".