2314512440096 has 96 divisors (see below), whose sum is σ = 4784622796800. Its totient is φ = 1100782275840.

The previous prime is 2314512440029. The next prime is 2314512440137. The reversal of 2314512440096 is 6900442154132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17409845 + ... + 17542283.

It is an arithmetic number, because the mean of its divisors is an integer number (49839820800).

Almost surely, 2^{2314512440096} 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 2314512440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392311398400).

2314512440096 is an abundant number, since it is smaller than the sum of its proper divisors (2470110356704).

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

2314512440096 is a wasteful number, since it uses less digits than its factorization.

2314512440096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132782 (or 132774 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 2314512440096 in words is "two trillion, three hundred fourteen billion, five hundred twelve million, four hundred forty thousand, ninety-six".