45478580112 has 300 divisors, whose sum is σ = 154351549440. Its totient is φ = 12889279872.

The previous prime is 45478580111. The next prime is 45478580117. The reversal of 45478580112 is 21108587454.

45478580112 is a `hidden beast` number, since 4 + 54 + 7 + 8 + 580 + 1 + 12 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45478580111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8062189 + ... + 8067827.

Almost surely, 2^45478580112 is an apocalyptic number.

45478580112 is a gapful number since it is divisible by the number (42) 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 45478580112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77175774720).

45478580112 is an abundant number, since it is smaller than the sum of its proper divisors (108872969328).

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

45478580112 is a wasteful number, since it uses less digits than its factorization.

45478580112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 45478580112 in words is "forty-five billion, four hundred seventy-eight million, five hundred eighty thousand, one hundred twelve".