3444505111313 has 32 divisors (see below), whose sum is σ = 3962759861760. Its totient is φ = 2932878274560.

The previous prime is 3444505111301. The next prime is 3444505111403. The reversal of 3444505111313 is 3131115054443.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3444505111313 - 2⁴ = 3444505111297 is a prime.

It is a super-2 number, since 2×3444505111313² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3444505110313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981059228 + ... + 981062738.

It is an arithmetic number, because the mean of its divisors is an integer number (123836245680).

Almost surely, 2^{3444505111313} is an apocalyptic number.

It is an amenable number.

3444505111313 is a deficient number, since it is larger than the sum of its proper divisors (518254750447).

3444505111313 is a wasteful number, since it uses less digits than its factorization.

3444505111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217.

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 3444505111313 in words is "three trillion, four hundred forty-four billion, five hundred five million, one hundred eleven thousand, three hundred thirteen".