10434607749 has 24 divisors (see below), whose sum is σ = 15154513920. Its totient is φ = 6918482592.

The previous prime is 10434607721. The next prime is 10434607751. The reversal of 10434607749 is 94770643401.

10434607749 is a `hidden beast` number, since 1 + 0 + 4 + 34 + 607 + 7 + 4 + 9 = 666.

It is not a de Polignac number, because 10434607749 - 2⁵ = 10434607717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434607709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2886267 + ... + 2889879.

It is an arithmetic number, because the mean of its divisors is an integer number (631438080).

Almost surely, 2^10434607749 is an apocalyptic number.

It is an amenable number.

10434607749 is a deficient number, since it is larger than the sum of its proper divisors (4719906171).

10434607749 is a wasteful number, since it uses less digits than its factorization.

10434607749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10434607749 in words is "ten billion, four hundred thirty-four million, six hundred seven thousand, seven hundred forty-nine".