2314413100000 has 144 divisors (see below), whose sum is σ = 5834180619792. Its totient is φ = 903184000000.

The previous prime is 2314413099961. The next prime is 2314413100031. The reversal of 2314413100000 is 13144132.

2314413100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2314413100000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3817755 + ... + 4382245.

It is an arithmetic number, because the mean of its divisors is an integer number (40515143193).

Almost surely, 2^{2314413100000} is an apocalyptic number.

2314413100000 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 2314413100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917090309896).

2314413100000 is an abundant number, since it is smaller than the sum of its proper divisors (3519767519792).

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

2314413100000 is an frugal number, since it uses more digits than its factorization.

2314413100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564567 (or 564539 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2314413100000 its reverse (13144132), we get a palindrome (2314426244132).

The spelling of 2314413100000 in words is "two trillion, three hundred fourteen billion, four hundred thirteen million, one hundred thousand".