32445361305 has 96 divisors (see below), whose sum is σ = 71635449600. Its totient is φ = 13224923136.

The previous prime is 32445361297. The next prime is 32445361307. The reversal of 32445361305 is 50316354423.

32445361305 is a `hidden beast` number, since 3 + 244 + 53 + 61 + 305 = 666.

It is not a de Polignac number, because 32445361305 - 2³ = 32445361297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32445361305.

It is not an unprimeable number, because it can be changed into a prime (32445361307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57700 + ... + 261189.

It is an arithmetic number, because the mean of its divisors is an integer number (746202600).

Almost surely, 2^32445361305 is an apocalyptic number.

32445361305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32445361305 is an abundant number, since it is smaller than the sum of its proper divisors (39190088295).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32445361305 is a wasteful number, since it uses less digits than its factorization.

32445361305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318943 (or 318940 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 32445361305 in words is "thirty-two billion, four hundred forty-five million, three hundred sixty-one thousand, three hundred five".