45843616 has 108 divisors (see below), whose sum is σ = 114344622. Its totient is φ = 18031104.

The previous prime is 45843613. The next prime is 45843619. The reversal of 45843616 is 61634854.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45843613) and next prime (45843619).

It can be written as a sum of positive squares in 3 ways, for example, as 33593616 + 12250000 = 5796^2 + 3500^2 .

It is not an unprimeable number, because it can be changed into a prime (45843613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 264906 + ... + 265078.

Almost surely, 2^45843616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45843616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57172311).

45843616 is an abundant number, since it is smaller than the sum of its proper divisors (68501006).

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

45843616 is a wasteful number, since it uses less digits than its factorization.

45843616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 195 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 45843616 is about 6770.7913865367. The cubic root of 45843616 is about 357.8982888860.

The spelling of 45843616 in words is "forty-five million, eight hundred forty-three thousand, six hundred sixteen".