22415541345 has 64 divisors (see below), whose sum is σ = 40409740800. Its totient is φ = 11788001280.

The previous prime is 22415541331. The next prime is 22415541347. The reversal of 22415541345 is 54314551422.

22415541345 is a `hidden beast` number, since 22 + 41 + 554 + 1 + 3 + 45 = 666.

It is not a de Polignac number, because 22415541345 - 2²⁰ = 22414492769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22415541347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3347761 + ... + 3354449.

It is an arithmetic number, because the mean of its divisors is an integer number (631402200).

Almost surely, 2^22415541345 is an apocalyptic number.

It is an amenable number.

22415541345 is a deficient number, since it is larger than the sum of its proper divisors (17994199455).

22415541345 is a wasteful number, since it uses less digits than its factorization.

22415541345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7041 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 22415541345 in words is "twenty-two billion, four hundred fifteen million, five hundred forty-one thousand, three hundred forty-five".