11648685042289 has 3 divisors (see below), whose sum is σ = 11648688455307. Its totient is φ = 11648681629272.

The previous prime is 11648685042259. The next prime is 11648685042347. The reversal of 11648685042289 is 98224058684611.

The square root of 11648685042289 is 3413017.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 5317382343025 + 6331302699264 = 2305945^2 + 2516208^2 .

It is not a de Polignac number, because 11648685042289 - 2²⁵ = 11648651487857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11648685042289.

It is not an unprimeable number, because it can be changed into a prime (11648685042209) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1706509 + ... + 5119525.

It is an arithmetic number, because the mean of its divisors is an integer number (3882896151769).

Almost surely, 2^{11648685042289} is an apocalyptic number.

11648685042289 is the 3413017-th square number.

11648685042289 is the 1706509-th centered octagonal number.

It is an amenable number.

11648685042289 is a deficient number, since it is larger than the sum of its proper divisors (3413018).

11648685042289 is an frugal number, since it uses more digits than its factorization.

11648685042289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826034 (or 3413017 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 64.

Multiplying 11648685042289 by its sum of digits (64), we get a square (745515842706496 = 27304136²).

The spelling of 11648685042289 in words is "eleven trillion, six hundred forty-eight billion, six hundred eighty-five million, forty-two thousand, two hundred eighty-nine".