10343214144 has 84 divisors (see below), whose sum is σ = 29684088460. Its totient is φ = 3443420160.

The previous prime is 10343214127. The next prime is 10343214151. The reversal of 10343214144 is 44141234301.

It can be written as a sum of positive squares in 2 ways, for example, as 4580582400 + 5762631744 = 67680^2 + 75912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466674 + ... + 488334.

Almost surely, 2^10343214144 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 10343214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842044230).

10343214144 is an abundant number, since it is smaller than the sum of its proper divisors (19340874316).

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

10343214144 is a wasteful number, since it uses less digits than its factorization.

10343214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22508 (or 22495 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10343214144 its reverse (44141234301), we get a palindrome (54484448445).

The spelling of 10343214144 in words is "ten billion, three hundred forty-three million, two hundred fourteen thousand, one hundred forty-four".