2314450320512 has 128 divisors (see below), whose sum is σ = 5046738929280. Its totient is φ = 1048525004800.

The previous prime is 2314450320493. The next prime is 2314450320557. The reversal of 2314450320512 is 2150230544132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2314450320512² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650673038 + ... + 650676594.

It is an arithmetic number, because the mean of its divisors is an integer number (39427647885).

Almost surely, 2^{2314450320512} is an apocalyptic number.

2314450320512 is a gapful number since it is divisible by the number (22) 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 2314450320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523369464640).

2314450320512 is an abundant number, since it is smaller than the sum of its proper divisors (2732288608768).

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

2314450320512 is a wasteful number, since it uses less digits than its factorization.

2314450320512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 2314450320512 its reverse (2150230544132), we get a palindrome (4464680864644).

The spelling of 2314450320512 in words is "two trillion, three hundred fourteen billion, four hundred fifty million, three hundred twenty thousand, five hundred twelve".