12415899083616 has 576 divisors, whose sum is σ = 42749284032000. Its totient is φ = 3543322019328.

The previous prime is 12415899083593. The next prime is 12415899083683. The reversal of 12415899083616 is 61638099851421.

12415899083616 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 5 + 8 + 9 + 9 + 0 + 8 + 3 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 2915212495 + ... + 2915216753.

It is an arithmetic number, because the mean of its divisors is an integer number (74217507000).

Almost surely, 2^{12415899083616} is an apocalyptic number.

12415899083616 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 12415899083616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21374642016000).

12415899083616 is an abundant number, since it is smaller than the sum of its proper divisors (30333384948384).

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

12415899083616 is an equidigital number, since it uses as much as digits as its factorization.

12415899083616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5398 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 12415899083616 in words is "twelve trillion, four hundred fifteen billion, eight hundred ninety-nine million, eighty-three thousand, six hundred sixteen".