22315605345 has 48 divisors (see below), whose sum is σ = 42705254592. Its totient is φ = 10689310080.

The previous prime is 22315605289. The next prime is 22315605359. The reversal of 22315605345 is 54350651322.

22315605345 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 5 + 605 + 3 + 45 = 666.

It is not a de Polignac number, because 22315605345 - 2⁹ = 22315604833 is a prime.

It is a super-3 number, since 3×22315605345³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230494 + ... + 312663.

It is an arithmetic number, because the mean of its divisors is an integer number (889692804).

Almost surely, 2^22315605345 is an apocalyptic number.

It is an amenable number.

22315605345 is a deficient number, since it is larger than the sum of its proper divisors (20389649247).

22315605345 is a wasteful number, since it uses less digits than its factorization.

22315605345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543262 (or 543259 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 22315605345 in words is "twenty-two billion, three hundred fifteen million, six hundred five thousand, three hundred forty-five".