2214432681409 has 27 divisors (see below), whose sum is σ = 2421675341787. Its totient is φ = 2024002396416.

The previous prime is 2214432681403. The next prime is 2214432681413. The reversal of 2214432681409 is 9041862344122.

The square root of 2214432681409 is 1488097.

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

It can be written as a sum of positive squares in 13 ways, for example, as 649611820225 + 1564820861184 = 805985^2 + 1250928^2 .

It is not a de Polignac number, because 2214432681409 - 2²⁵ = 2214399126977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2214432681403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2186013987 + ... + 2186014999.

Almost surely, 2^{2214432681409} is an apocalyptic number.

2214432681409 is the 1488097-th square number.

2214432681409 is the 744049-th centered octagonal number.

It is an amenable number.

2214432681409 is a deficient number, since it is larger than the sum of its proper divisors (207242660378).

2214432681409 is an frugal number, since it uses more digits than its factorization.

2214432681409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 2214432681409 in words is "two trillion, two hundred fourteen billion, four hundred thirty-two million, six hundred eighty-one thousand, four hundred nine".