45083785905 has 24 divisors (see below), whose sum is σ = 78150212712. Its totient is φ = 24043152384.

The previous prime is 45083785897. The next prime is 45083785907. The reversal of 45083785905 is 50958738054.

45083785905 is a `hidden beast` number, since 45 + 0 + 8 + 3 + 7 + 8 + 590 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 620159409 + 44463626496 = 24903^2 + 210864^2 .

It is not a de Polignac number, because 45083785905 - 2³ = 45083785897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45083785907) 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 23 ways as a sum of consecutive naturals, for example, 1224627 + ... + 1260903.

It is an arithmetic number, because the mean of its divisors is an integer number (3256258863).

Almost surely, 2^45083785905 is an apocalyptic number.

45083785905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45083785905 is a deficient number, since it is larger than the sum of its proper divisors (33066426807).

45083785905 is a wasteful number, since it uses less digits than its factorization.

45083785905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63905 (or 63902 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 45083785905 in words is "forty-five billion, eighty-three million, seven hundred eighty-five thousand, nine hundred five".