10998346129 has 27 divisors (see below), whose sum is σ = 12133374651. Its totient is φ = 9967129920.

The previous prime is 10998346043. The next prime is 10998346189. The reversal of 10998346129 is 92164389901.

The square root of 10998346129 is 104873.

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

10998346129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8562726225 + 2435619904 = 92535^2 + 49352^2 .

It is not a de Polignac number, because 10998346129 - 2²³ = 10989957521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10998346189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55267972 + ... + 55268170.

Almost surely, 2^10998346129 is an apocalyptic number.

10998346129 is the 104873-rd square number.

10998346129 is the 52437-th centered octagonal number.

It is an amenable number.

10998346129 is a deficient number, since it is larger than the sum of its proper divisors (1135028522).

10998346129 is an frugal number, since it uses more digits than its factorization.

10998346129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The spelling of 10998346129 in words is "ten billion, nine hundred ninety-eight million, three hundred forty-six thousand, one hundred twenty-nine".