2189248711321 has 9 divisors (see below), whose sum is σ = 2546689120671. Its totient is φ = 1876490017752.

The previous prime is 2189248711297. The next prime is 2189248711339. The reversal of 2189248711321 is 1231178429812.

The square root of 2189248711321 is 1479611.

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., 825108806025 + 1364139905296 = 908355^2 + 1167964^2 .

It is not a de Polignac number, because 2189248711321 - 2⁹ = 2189248710809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2189248711121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10251591 + ... + 10462963.

Almost surely, 2^{2189248711321} is an apocalyptic number.

2189248711321 is the 1479611-st square number.

2189248711321 is the 739806-th centered octagonal number.

It is an amenable number.

2189248711321 is a deficient number, since it is larger than the sum of its proper divisors (357440409350).

2189248711321 is an frugal number, since it uses more digits than its factorization.

2189248711321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422760 (or 211380 counting only the distinct ones).

The product of its digits is 387072, while the sum is 49.

Multiplying 2189248711321 by its sum of digits (49), we get a square (107273186854729 = 10357277²).

2189248711321 divided by its sum of digits (49) gives a square (44678545129 = 211373²).

The spelling of 2189248711321 in words is "two trillion, one hundred eighty-nine billion, two hundred forty-eight million, seven hundred eleven thousand, three hundred twenty-one".