12616375408896 has 288 divisors, whose sum is σ = 38488693985280. Its totient is φ = 3593996034048.

The previous prime is 12616375408891. The next prime is 12616375408907. The reversal of 12616375408896 is 69880457361621.

It is a super-2 number, since 2×12616375408896² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12616375408891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5463998590 + ... + 5464000898.

It is an arithmetic number, because the mean of its divisors is an integer number (133641298560).

It is a 1-persistent number, because it is pandigital, but 2⋅12616375408896 = 25232750817792 is not.

Almost surely, 2^{12616375408896} is an apocalyptic number.

12616375408896 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 12616375408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19244346992640).

12616375408896 is an abundant number, since it is smaller than the sum of its proper divisors (25872318576384).

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

12616375408896 is a wasteful number, since it uses less digits than its factorization.

12616375408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 12616375408896 in words is "twelve trillion, six hundred sixteen billion, three hundred seventy-five million, four hundred eight thousand, eight hundred ninety-six".