73548897601 has 9 divisors (see below), whose sum is σ = 74298115299. Its totient is φ = 72807168336.

The previous prime is 73548897599. The next prime is 73548897629. The reversal of 73548897601 is 10679884537.

The square root of 73548897601 is 271199.

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., 12032993025 + 61515904576 = 109695^2 + 248024^2 .

It is not a de Polignac number, because 73548897601 - 2¹ = 73548897599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73548897671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27932181 + ... + 27934813.

Almost surely, 2^73548897601 is an apocalyptic number.

73548897601 is the 271199-th square number.

73548897601 is the 135600-th centered octagonal number.

It is an amenable number.

73548897601 is a deficient number, since it is larger than the sum of its proper divisors (749217698).

73548897601 is an frugal number, since it uses more digits than its factorization.

73548897601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 73548897601 in words is "seventy-three billion, five hundred forty-eight million, eight hundred ninety-seven thousand, six hundred one".