13444106769 has 24 divisors (see below), whose sum is σ = 19972908072. Its totient is φ = 8707910400.

The previous prime is 13444106747. The next prime is 13444106777. The reversal of 13444106769 is 96760144431.

13444106769 is a `hidden beast` number, since 134 + 441 + 0 + 6 + 76 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4963907025 + 8480199744 = 70455^2 + 92088^2 .

It is not a de Polignac number, because 13444106769 - 2⁵ = 13444106737 is a prime.

It is a super-2 number, since 2×13444106769² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13444106789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204637 + ... + 262229.

It is an arithmetic number, because the mean of its divisors is an integer number (832204503).

Almost surely, 2^13444106769 is an apocalyptic number.

It is an amenable number.

13444106769 is a deficient number, since it is larger than the sum of its proper divisors (6528801303).

13444106769 is a wasteful number, since it uses less digits than its factorization.

13444106769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58337 (or 58334 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13444106769 in words is "thirteen billion, four hundred forty-four million, one hundred six thousand, seven hundred sixty-nine".