45812582784 has 48 divisors (see below), whose sum is σ = 131830482420. Its totient is φ = 15270860544.

The previous prime is 45812582779. The next prime is 45812582797. The reversal of 45812582784 is 48728521854.

45812582784 is a `hidden beast` number, since 4 + 58 + 1 + 2 + 582 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45812582784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19882782 + ... + 19885085.

Almost surely, 2^45812582784 is an apocalyptic number.

It is an amenable number.

45812582784 is an abundant number, since it is smaller than the sum of its proper divisors (86017899636).

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

45812582784 is a wasteful number, since it uses less digits than its factorization.

45812582784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39767887 (or 39767872 counting only the distinct ones).

The product of its digits is 5734400, while the sum is 54.

The spelling of 45812582784 in words is "forty-five billion, eight hundred twelve million, five hundred eighty-two thousand, seven hundred eighty-four".