344819618067568 has 20 divisors (see below), whose sum is σ = 763529154292720. Its totient is φ = 147779836314624.

The previous prime is 344819618067559. The next prime is 344819618067571. The reversal of 344819618067568 is 865760816918443.

It is a super-2 number, since 2×344819618067568² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344819618067494 and 344819618067503.

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 3 ways as a sum of consecutive naturals, for example, 1539373294833 + ... + 1539373295056.

It is an arithmetic number, because the mean of its divisors is an integer number (38176457714636).

Almost surely, 2^{344819618067568} is an apocalyptic number.

It is an amenable number.

344819618067568 is an abundant number, since it is smaller than the sum of its proper divisors (418709536225152).

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

344819618067568 is a wasteful number, since it uses less digits than its factorization.

344819618067568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078746589904 (or 3078746589898 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 76.

It can be divided in two parts, 34481961 and 8067568, that added together give a square (42549529 = 6523²).

The spelling of 344819618067568 in words is "three hundred forty-four trillion, eight hundred nineteen billion, six hundred eighteen million, sixty-seven thousand, five hundred sixty-eight".