83438366449 has 27 divisors (see below), whose sum is σ = 92195675019. Its totient is φ = 75495665520.

The previous prime is 83438366447. The next prime is 83438366489. The reversal of 83438366449 is 94466383438.

It is a happy number.

The square root of 83438366449 is 288857.

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., 66251156449 + 17187210000 = 257393^2 + 131100^2 .

It is not a de Polignac number, because 83438366449 - 2¹ = 83438366447 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83438366393 and 83438366402.

It is not an unprimeable number, because it can be changed into a prime (83438366443) 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, 126230179 + ... + 126230839.

Almost surely, 2^83438366449 is an apocalyptic number.

83438366449 is the 288857-th square number.

83438366449 is the 144429-th centered octagonal number.

It is an amenable number.

83438366449 is a deficient number, since it is larger than the sum of its proper divisors (8757308570).

83438366449 is an frugal number, since it uses more digits than its factorization.

83438366449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 703 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 58.

The spelling of 83438366449 in words is "eighty-three billion, four hundred thirty-eight million, three hundred sixty-six thousand, four hundred forty-nine".