7164437449 has 27 divisors (see below), whose sum is σ = 8262708213. Its totient is φ = 6208056192.

The previous prime is 7164437383. The next prime is 7164437459. The reversal of 7164437449 is 9447344617.

The square root of 7164437449 is 84643.

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

It can be written as a sum of positive squares in 4 ways, for example, as 64689849 + 7099747600 = 8043^2 + 84260^2 .

It is not a de Polignac number, because 7164437449 - 2¹⁹ = 7163913161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7164437459) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18705912 + ... + 18706294.

Almost surely, 2^7164437449 is an apocalyptic number.

7164437449 is the 84643-rd square number.

7164437449 is the 42322-nd centered octagonal number.

It is an amenable number.

7164437449 is a deficient number, since it is larger than the sum of its proper divisors (1098270764).

7164437449 is an equidigital number, since it uses as much as digits as its factorization.

7164437449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 413 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 49.

The cubic root of 7164437449 is about 1927.7943292864.

Multiplying 7164437449 by its sum of digits (49), we get a square (351057435001 = 592501²).

The spelling of 7164437449 in words is "seven billion, one hundred sixty-four million, four hundred thirty-seven thousand, four hundred forty-nine".