10344320332344 has 160 divisors (see below), whose sum is σ = 30294996589440. Its totient is φ = 3291469473600.

The previous prime is 10344320332303. The next prime is 10344320332373. The reversal of 10344320332344 is 44323302344301.

10344320332344 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 320 + 3 + 323 + 4 + 4 = 666.

It is a super-2 number, since 2×10344320332344² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10344320332299 and 10344320332308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6611079 + ... + 8024649.

It is an arithmetic number, because the mean of its divisors is an integer number (189343728684).

Almost surely, 2^{10344320332344} 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 10344320332344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147498294720).

10344320332344 is an abundant number, since it is smaller than the sum of its proper divisors (19950676257096).

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

10344320332344 is a wasteful number, since it uses less digits than its factorization.

10344320332344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414103 (or 1414090 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 10344320332344 its reverse (44323302344301), we get a palindrome (54667622676645).

The spelling of 10344320332344 in words is "ten trillion, three hundred forty-four billion, three hundred twenty million, three hundred thirty-two thousand, three hundred forty-four".