2314506664512 has 2016 divisors, whose sum is σ = 8881918036992. Its totient is φ = 593885343744.

The previous prime is 2314506664511. The next prime is 2314506664529. The reversal of 2314506664512 is 2154666054132.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×2314506664512² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2314506664511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27885622423 + ... + 27885622505.

It is an arithmetic number, because the mean of its divisors is an integer number (4405713312).

Almost surely, 2^{2314506664512} 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 2314506664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440959018496).

2314506664512 is an abundant number, since it is smaller than the sum of its proper divisors (6567411372480).

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

2314506664512 is a wasteful number, since it uses less digits than its factorization.

2314506664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2314506664512 in words is "two trillion, three hundred fourteen billion, five hundred six million, six hundred sixty-four thousand, five hundred twelve".