344836655681 has 54 divisors (see below), whose sum is σ = 417086929350. Its totient is φ = 284263547904.

The previous prime is 344836655663. The next prime is 344836655729. The reversal of 344836655681 is 186556638443.

It can be written as a sum of positive squares in 3 ways, for example, as 212875195456 + 131961460225 = 461384^2 + 363265^2 .

It is not a de Polignac number, because 344836655681 - 2¹⁸ = 344836393537 is a prime.

It is a super-2 number, since 2×344836655681² (a number of 24 digits) contains 22 as substring.

Its product of digits (49766400) is a multiple of the sum of its prime divisors (600).

It is a self number, because there is not a number n which added to its sum of digits gives 344836655681.

It is not an unprimeable number, because it can be changed into a prime (344836655621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 768010145 + ... + 768010593.

It is an arithmetic number, because the mean of its divisors is an integer number (7723832025).

Almost surely, 2^344836655681 is an apocalyptic number.

It is an amenable number.

344836655681 is a deficient number, since it is larger than the sum of its proper divisors (72250273669).

344836655681 is an equidigital number, since it uses as much as digits as its factorization.

344836655681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 600 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 59.

The spelling of 344836655681 in words is "three hundred forty-four billion, eight hundred thirty-six million, six hundred fifty-five thousand, six hundred eighty-one".