11292675289 has 81 divisors (see below), whose sum is σ = 15047687583. Its totient is φ = 8446951296.

The previous prime is 11292675269. The next prime is 11292675311. The reversal of 11292675289 is 98257629211.

The square root of 11292675289 is 106267.

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

It can be written as a sum of positive squares in only one way, i.e., 8791875225 + 2500800064 = 93765^2 + 50008^2 .

It is not a de Polignac number, because 11292675289 - 2²¹ = 11290578137 is a prime.

Its product of digits (1088640) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (11292675239) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 240269664 + ... + 240269710.

Almost surely, 2^11292675289 is an apocalyptic number.

11292675289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11292675289 is the 106267-th square number.

11292675289 is the 53134-th centered octagonal number.

It is an amenable number.

11292675289 is a deficient number, since it is larger than the sum of its proper divisors (3755012294).

11292675289 is an equidigital number, since it uses as much as digits as its factorization.

11292675289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 52.

The spelling of 11292675289 in words is "eleven billion, two hundred ninety-two million, six hundred seventy-five thousand, two hundred eighty-nine".