73824693849 has 45 divisors (see below), whose sum is σ = 111676060639. Its totient is φ = 46994442720.

The previous prime is 73824693793. The next prime is 73824693853. The reversal of 73824693849 is 94839642837.

The square root of 73824693849 is 271707.

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

73824693849 is a `hidden beast` number, since 7 + 3 + 8 + 246 + 9 + 384 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3557287449 + 70267406400 = 59643^2 + 265080^2 .

It is not a de Polignac number, because 73824693849 - 2⁷ = 73824693721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73824673849) 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 44 ways as a sum of consecutive naturals, for example, 1570738144 + ... + 1570738190.

Almost surely, 2^73824693849 is an apocalyptic number.

73824693849 is the 271707-th square number.

73824693849 is the 135854-th centered octagonal number.

It is an amenable number.

73824693849 is a deficient number, since it is larger than the sum of its proper divisors (37851366790).

73824693849 is an frugal number, since it uses more digits than its factorization.

73824693849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 91 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 73824693849 in words is "seventy-three billion, eight hundred twenty-four million, six hundred ninety-three thousand, eight hundred forty-nine".