2263721857489 has 9 divisors (see below), whose sum is σ = 2287447259931. Its totient is φ = 2240240080320.

The previous prime is 2263721857459. The next prime is 2263721857519. The reversal of 2263721857489 is 9847581273622.

The square root of 2263721857489 is 1504567.

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

It is an interprime number because it is at equal distance from previous prime (2263721857459) and next prime (2263721857519).

It can be written as a sum of positive squares in only one way, i.e., 1016497486225 + 1247224371264 = 1008215^2 + 1116792^2 .

It is not a de Polignac number, because 2263721857489 - 2⁵ = 2263721857457 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 2263721857489.

It is not an unprimeable number, because it can be changed into a prime (2263721857459) 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 8 ways as a sum of consecutive naturals, for example, 145935244 + ... + 145950754.

It is an arithmetic number, because the mean of its divisors is an integer number (254160806659).

Almost surely, 2^{2263721857489} is an apocalyptic number.

2263721857489 is the 1504567-th square number.

2263721857489 is the 752284-th centered octagonal number.

It is an amenable number.

2263721857489 is a deficient number, since it is larger than the sum of its proper divisors (23725402442).

2263721857489 is an frugal number, since it uses more digits than its factorization.

2263721857489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31216 (or 15608 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 64.

Multiplying 2263721857489 by its sum of digits (64), we get a square (144878198879296 = 12036536²).

It can be divided in two parts, 226372 and 1857489, that added together give a triangular number (2083861 = T₂₀₄₁).

The spelling of 2263721857489 in words is "two trillion, two hundred sixty-three billion, seven hundred twenty-one million, eight hundred fifty-seven thousand, four hundred eighty-nine".