2345835810816 has 312 divisors, whose sum is σ = 7037947032480. Its totient is φ = 780727320576.

The previous prime is 2345835810809. The next prime is 2345835810817. The reversal of 2345835810816 is 6180185385432.

2345835810816 is a `hidden beast` number, since 2 + 3 + 4 + 58 + 3 + 581 + 0 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345835810817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825125491 + ... + 825128333.

It is an arithmetic number, because the mean of its divisors is an integer number (22557522540).

Almost surely, 2^{2345835810816} 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 2345835810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518973516240).

2345835810816 is an abundant number, since it is smaller than the sum of its proper divisors (4692111221664).

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

2345835810816 is an frugal number, since it uses more digits than its factorization.

2345835810816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2345835810816 in words is "two trillion, three hundred forty-five billion, eight hundred thirty-five million, eight hundred ten thousand, eight hundred sixteen".