10837434609 has 45 divisors (see below), whose sum is σ = 16636348443. Its totient is φ = 7030700208.

The previous prime is 10837434599. The next prime is 10837434617. The reversal of 10837434609 is 90643473801.

The square root of 10837434609 is 104103.

It is a perfect power (a square), and thus also a powerful number.

10837434609 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 7 + 4 + 34 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 713050209 + 10124384400 = 26703^2 + 100620^2 .

It is not a de Polignac number, because 10837434609 - 2⁵ = 10837434577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10837434649) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 40287727 + ... + 40287995.

Almost surely, 2^10837434609 is an apocalyptic number.

10837434609 is the 104103-rd square number.

10837434609 is the 52052-nd centered octagonal number.

It is an amenable number.

10837434609 is a deficient number, since it is larger than the sum of its proper divisors (5798913834).

10837434609 is an frugal number, since it uses more digits than its factorization.

10837434609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 315 counting only the distinct ones).

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

The spelling of 10837434609 in words is "ten billion, eight hundred thirty-seven million, four hundred thirty-four thousand, six hundred nine".