344420133130323 has 64 divisors (see below), whose sum is σ = 522366836428800. Its totient is φ = 224230042108800.

The previous prime is 344420133130261. The next prime is 344420133130327. The reversal of 344420133130323 is 323031331024443.

344420133130323 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 2 + 0 + 13 + 313 + 0 + 323 = 666.

It is not a de Polignac number, because 344420133130323 - 2⁸ = 344420133130067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344420133130327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207497065 + ... + 209150357.

It is an arithmetic number, because the mean of its divisors is an integer number (8161981819200).

Almost surely, 2^{344420133130323} is an apocalyptic number.

344420133130323 is a deficient number, since it is larger than the sum of its proper divisors (177946703298477).

344420133130323 is a wasteful number, since it uses less digits than its factorization.

344420133130323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654449 (or 1654443 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 344420133130323 its reverse (323031331024443), we get a palindrome (667451464154766).

The spelling of 344420133130323 in words is "three hundred forty-four trillion, four hundred twenty billion, one hundred thirty-three million, one hundred thirty thousand, three hundred twenty-three".