45193884417 has 48 divisors (see below), whose sum is σ = 73793251840. Its totient is φ = 27316064160.

The previous prime is 45193884397. The next prime is 45193884451. The reversal of 45193884417 is 71448839154.

45193884417 is a `hidden beast` number, since 4 + 5 + 193 + 8 + 8 + 441 + 7 = 666.

It is not a de Polignac number, because 45193884417 - 2¹¹ = 45193882369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45193884817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1200048 + ... + 1237134.

Almost surely, 2^45193884417 is an apocalyptic number.

It is an amenable number.

45193884417 is a deficient number, since it is larger than the sum of its proper divisors (28599367423).

45193884417 is a wasteful number, since it uses less digits than its factorization.

45193884417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37491 (or 37474 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 45193884417 in words is "forty-five billion, one hundred ninety-three million, eight hundred eighty-four thousand, four hundred seventeen".