10345244131344 has 240 divisors, whose sum is σ = 29579574214656. Its totient is φ = 3111503308800.

The previous prime is 10345244131301. The next prime is 10345244131367. The reversal of 10345244131344 is 44313144254301.

It is a happy number.

It is a super-2 number, since 2×10345244131344² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45901009 + ... + 46125839.

Almost surely, 2^{10345244131344} 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 10345244131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789787107328).

10345244131344 is an abundant number, since it is smaller than the sum of its proper divisors (19234330083312).

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

10345244131344 is a wasteful number, since it uses less digits than its factorization.

10345244131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225014 (or 224991 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 10345244131344 its reverse (44313144254301), we get a palindrome (54658388385645).

The spelling of 10345244131344 in words is "ten trillion, three hundred forty-five billion, two hundred forty-four million, one hundred thirty-one thousand, three hundred forty-four".