10204323406344 has 24 divisors (see below), whose sum is σ = 27636709225710. Its totient is φ = 3401441135424.

The previous prime is 10204323406309. The next prime is 10204323406349. The reversal of 10204323406344 is 44360432340201.

10204323406344 is a `hidden beast` number, since 1 + 0 + 204 + 3 + 2 + 3 + 406 + 3 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7708119322500 + 2496204083844 = 2776350^2 + 1579938^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 10204323406299 and 10204323406308.

It is not an unprimeable number, because it can be changed into a prime (10204323406349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70863356917 + ... + 70863357060.

Almost surely, 2^{10204323406344} is an apocalyptic number.

It is an amenable number.

10204323406344 is an abundant number, since it is smaller than the sum of its proper divisors (17432385819366).

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

10204323406344 is a wasteful number, since it uses less digits than its factorization.

10204323406344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141726713989 (or 141726713982 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 10204323406344 its reverse (44360432340201), we get a palindrome (54564755746545).

The spelling of 10204323406344 in words is "ten trillion, two hundred four billion, three hundred twenty-three million, four hundred six thousand, three hundred forty-four".