2352033874116 has 120 divisors (see below), whose sum is σ = 6195710278296. Its totient is φ = 778018659840.

The previous prime is 2352033874097. The next prime is 2352033874117. The reversal of 2352033874116 is 6114783302532.

2352033874116 is a `hidden beast` number, since 2 + 3 + 520 + 3 + 3 + 8 + 7 + 4 + 116 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 737101234116 + 1614932640000 = 858546^2 + 1270800^2 .

It is not an unprimeable number, because it can be changed into a prime (2352033874117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158946030 + ... + 158960826.

Almost surely, 2^{2352033874116} 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 2352033874116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097855139148).

2352033874116 is an abundant number, since it is smaller than the sum of its proper divisors (3843676404180).

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

2352033874116 is a wasteful number, since it uses less digits than its factorization.

2352033874116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18531 (or 18520 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2352033874116 in words is "two trillion, three hundred fifty-two billion, thirty-three million, eight hundred seventy-four thousand, one hundred sixteen".