22564505535541 has 32 divisors (see below), whose sum is σ = 24161573652480. Its totient is φ = 21021676974144.

The previous prime is 22564505535511. The next prime is 22564505535589. The reversal of 22564505535541 is 14553550546522.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22564505535541 - 2⁹ = 22564505535029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22564505535511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827950471 + ... + 827977723.

It is an arithmetic number, because the mean of its divisors is an integer number (755049176640).

Almost surely, 2^{22564505535541} is an apocalyptic number.

It is an amenable number.

22564505535541 is a deficient number, since it is larger than the sum of its proper divisors (1597068116939).

22564505535541 is a wasteful number, since it uses less digits than its factorization.

22564505535541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29665.

The product of its (nonzero) digits is 18000000, while the sum is 52.

The spelling of 22564505535541 in words is "twenty-two trillion, five hundred sixty-four billion, five hundred five million, five hundred thirty-five thousand, five hundred forty-one".