344123032001104 has 40 divisors (see below), whose sum is σ = 682378304363360. Its totient is φ = 168026981447808.

The previous prime is 344123032001069. The next prime is 344123032001137. The reversal of 344123032001104 is 401100230321443.

It is a happy number.

It is a super-2 number, since 2×344123032001104² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45766314 + ... + 52752265.

It is an arithmetic number, because the mean of its divisors is an integer number (17059457609084).

Almost surely, 2^{344123032001104} is an apocalyptic number.

It is an amenable number.

344123032001104 is a deficient number, since it is larger than the sum of its proper divisors (338255272362256).

344123032001104 is a wasteful number, since it uses less digits than its factorization.

344123032001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98523707 (or 98523701 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 344123032001104 its reverse (401100230321443), we get a palindrome (745223262322547).

The spelling of 344123032001104 in words is "three hundred forty-four trillion, one hundred twenty-three billion, thirty-two million, one thousand, one hundred four".