45286463318184 has 1024 divisors, whose sum is σ = 154077371596800. Its totient is φ = 12155144601600.

The previous prime is 45286463318147. The next prime is 45286463318203. The reversal of 45286463318184 is 48181336468254.

45286463318184 is a `hidden beast` number, since 4 + 5 + 2 + 86 + 4 + 63 + 318 + 184 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49710716689 + ... + 49710717599.

It is an arithmetic number, because the mean of its divisors is an integer number (150466183200).

Almost surely, 2^{45286463318184} is an apocalyptic number.

45286463318184 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45286463318184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77038685798400).

45286463318184 is an abundant number, since it is smaller than the sum of its proper divisors (108790908278616).

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

45286463318184 is a wasteful number, since it uses less digits than its factorization.

45286463318184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1773 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 45286463318184 in words is "forty-five trillion, two hundred eighty-six billion, four hundred sixty-three million, three hundred eighteen thousand, one hundred eighty-four".