71973284461849 has 9 divisors (see below), whose sum is σ = 72042807622591. Its totient is φ = 71903828352640.

The previous prime is 71973284461831. The next prime is 71973284461853. The reversal of 71973284461849 is 94816448237917.

It is a happy number.

The square root of 71973284461849 is 8483707.

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., 24152850848025 + 47820433613824 = 4914555^2 + 6915232^2 .

It is not a de Polignac number, because 71973284461849 - 2¹¹ = 71973284459801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71973284461049) 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, 10324667934 + ... + 10324674904.

Almost surely, 2^{71973284461849} is an apocalyptic number.

71973284461849 is the 8483707-th square number.

71973284461849 is the 4241854-th centered octagonal number.

It is an amenable number.

71973284461849 is a deficient number, since it is larger than the sum of its proper divisors (69523160742).

71973284461849 is an frugal number, since it uses more digits than its factorization.

71973284461849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16376 (or 8188 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 73.

The spelling of 71973284461849 in words is "seventy-one trillion, nine hundred seventy-three billion, two hundred eighty-four million, four hundred sixty-one thousand, eight hundred forty-nine".