12352233640416 has 384 divisors, whose sum is σ = 35215500902400. Its totient is φ = 3776958259200.

The previous prime is 12352233640367. The next prime is 12352233640423. The reversal of 12352233640416 is 61404633225321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4576595035 + ... + 4576597733.

It is an arithmetic number, because the mean of its divisors is an integer number (91707033600).

Almost surely, 2^{12352233640416} is an apocalyptic number.

12352233640416 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 12352233640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17607750451200).

12352233640416 is an abundant number, since it is smaller than the sum of its proper divisors (22863267261984).

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

12352233640416 is a wasteful number, since it uses less digits than its factorization.

12352233640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

Adding to 12352233640416 its reverse (61404633225321), we get a palindrome (73756866865737).

The spelling of 12352233640416 in words is "twelve trillion, three hundred fifty-two billion, two hundred thirty-three million, six hundred forty thousand, four hundred sixteen".