2313933160800 has 288 divisors, whose sum is σ = 7861949303040. Its totient is φ = 590023526400.

The previous prime is 2313933160753. The next prime is 2313933160837. The reversal of 2313933160800 is 80613393132.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 239507970 + ... + 239517630.

It is an arithmetic number, because the mean of its divisors is an integer number (27298435080).

Almost surely, 2^{2313933160800} is an apocalyptic number.

2313933160800 is a gapful number since it is divisible by the number (20) 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 2313933160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930974651520).

2313933160800 is an abundant number, since it is smaller than the sum of its proper divisors (5548016142240).

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

2313933160800 is a wasteful number, since it uses less digits than its factorization.

2313933160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14046 (or 14033 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 2313933160800 in words is "two trillion, three hundred thirteen billion, nine hundred thirty-three million, one hundred sixty thousand, eight hundred".