73544054422033 has 24 divisors (see below), whose sum is σ = 80949931626816. Its totient is φ = 66771682286400.

The previous prime is 73544054422021. The next prime is 73544054422093. The reversal of 73544054422033 is 33022445044537.

It is a de Polignac number, because none of the positive numbers 2^k-73544054422033 is a prime.

It is a super-3 number, since 3×73544054422033³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73544054422093) 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 23 ways as a sum of consecutive naturals, for example, 2227735 + ... + 12330892.

It is an arithmetic number, because the mean of its divisors is an integer number (3372913817784).

Almost surely, 2^{73544054422033} is an apocalyptic number.

It is an amenable number.

73544054422033 is a deficient number, since it is larger than the sum of its proper divisors (7405877204783).

73544054422033 is a wasteful number, since it uses less digits than its factorization.

73544054422033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14559145 (or 14559132 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 46.

The spelling of 73544054422033 in words is "seventy-three trillion, five hundred forty-four billion, fifty-four million, four hundred twenty-two thousand, thirty-three".