45845856 has 72 divisors (see below), whose sum is σ = 149005584. Its totient is φ = 13098240.

The previous prime is 45845851. The next prime is 45845861. The reversal of 45845856 is 65854854.

45845856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45845851) and next prime (45845861).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45845851) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9355 + ... + 13386.

It is an arithmetic number, because the mean of its divisors is an integer number (2069522).

Almost surely, 2^45845856 is an apocalyptic number.

It is an amenable number.

45845856 is an abundant number, since it is smaller than the sum of its proper divisors (103159728).

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

45845856 is a wasteful number, since it uses less digits than its factorization.

45845856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22764 (or 22753 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 45845856 is about 6770.9568009256. The cubic root of 45845856 is about 357.9041179718.

It can be divided in two parts, 4584 and 5856, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 45845856 in words is "forty-five million, eight hundred forty-five thousand, eight hundred fifty-six".