73388435409 has 27 divisors (see below), whose sum is σ = 107564496273. Its totient is φ = 48216399552.

The previous prime is 73388435401. The next prime is 73388435437. The reversal of 73388435409 is 90453488337.

The square root of 73388435409 is 270903.

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 7965027009 + 65423408400 = 89247^2 + 255780^2 .

It is not a de Polignac number, because 73388435409 - 2³ = 73388435401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73388435401) 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 26 ways as a sum of consecutive naturals, for example, 59327139 + ... + 59328375.

Almost surely, 2^73388435409 is an apocalyptic number.

73388435409 is the 270903-rd square number.

73388435409 is the 135452-nd centered octagonal number.

It is an amenable number.

73388435409 is a deficient number, since it is larger than the sum of its proper divisors (34176060864).

73388435409 is an frugal number, since it uses more digits than its factorization.

73388435409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 73388435409 in words is "seventy-three billion, three hundred eighty-eight million, four hundred thirty-five thousand, four hundred nine".