12416613327756 has 144 divisors (see below), whose sum is σ = 34312271535360. Its totient is φ = 3754647711360.

The previous prime is 12416613327737. The next prime is 12416613327803. The reversal of 12416613327756 is 65772331661421.

12416613327756 is a `hidden beast` number, since 1 + 2 + 4 + 16 + 613 + 3 + 2 + 7 + 7 + 5 + 6 = 666.

It is a super-3 number, since 3×12416613327756³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480897015 + ... + 480922833.

It is an arithmetic number, because the mean of its divisors is an integer number (238279663440).

Almost surely, 2^{12416613327756} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12416613327756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156135767680).

12416613327756 is an abundant number, since it is smaller than the sum of its proper divisors (21895658207604).

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

12416613327756 is a wasteful number, since it uses less digits than its factorization.

12416613327756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28364 (or 28359 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 12416613327756 in words is "twelve trillion, four hundred sixteen billion, six hundred thirteen million, three hundred twenty-seven thousand, seven hundred fifty-six".