10434945759 has 48 divisors (see below), whose sum is σ = 16282086912. Its totient is φ = 5822646336.

The previous prime is 10434945737. The next prime is 10434945769. The reversal of 10434945759 is 95754943401.

It is a happy number.

It is not a de Polignac number, because 10434945759 - 2⁵ = 10434945727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434945769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13498897 + ... + 13499669.

It is an arithmetic number, because the mean of its divisors is an integer number (339210144).

Almost surely, 2^10434945759 is an apocalyptic number.

10434945759 is a deficient number, since it is larger than the sum of its proper divisors (5847141153).

10434945759 is an equidigital number, since it uses as much as digits as its factorization.

10434945759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 10434945759 in words is "ten billion, four hundred thirty-four million, nine hundred forty-five thousand, seven hundred fifty-nine".