12352314667616 has 192 divisors, whose sum is σ = 31337131198464. Its totient is φ = 4652689766400.

The previous prime is 12352314667573. The next prime is 12352314667621. The reversal of 12352314667616 is 61676641325321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13881881 + ... + 14744871.

It is an arithmetic number, because the mean of its divisors is an integer number (163214224992).

Almost surely, 2^{12352314667616} is an apocalyptic number.

12352314667616 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 12352314667616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668565599232).

12352314667616 is an abundant number, since it is smaller than the sum of its proper divisors (18984816530848).

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

12352314667616 is a wasteful number, since it uses less digits than its factorization.

12352314667616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863213 (or 863205 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 53.

The spelling of 12352314667616 in words is "twelve trillion, three hundred fifty-two billion, three hundred fourteen million, six hundred sixty-seven thousand, six hundred sixteen".