73567306054561 has 32 divisors (see below), whose sum is σ = 80563401031680. Its totient is φ = 66623126169600.

The previous prime is 73567306054549. The next prime is 73567306054607. The reversal of 73567306054561 is 16545060376537.

It is not a de Polignac number, because 73567306054561 - 2¹³ = 73567306046369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73567306054496 and 73567306054505.

It is not an unprimeable number, because it can be changed into a prime (73567306004561) 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 31 ways as a sum of consecutive naturals, for example, 10949141760 + ... + 10949148478.

It is an arithmetic number, because the mean of its divisors is an integer number (2517606282240).

Almost surely, 2^{73567306054561} is an apocalyptic number.

It is an amenable number.

73567306054561 is a deficient number, since it is larger than the sum of its proper divisors (6996094977119).

73567306054561 is a wasteful number, since it uses less digits than its factorization.

73567306054561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10317.

The product of its (nonzero) digits is 47628000, while the sum is 58.

The spelling of 73567306054561 in words is "seventy-three trillion, five hundred sixty-seven billion, three hundred six million, fifty-four thousand, five hundred sixty-one".