45005616 has 60 divisors (see below), whose sum is σ = 129372672. Its totient is φ = 14594688.

The previous prime is 45005603. The next prime is 45005621. The reversal of 45005616 is 61650054.

It is a happy number.

45005616 is a `hidden beast` number, since 45 + 0 + 0 + 5 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45005616.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1105 + ... + 9551.

Almost surely, 2^45005616 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 45005616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64686336).

45005616 is an abundant number, since it is smaller than the sum of its proper divisors (84367056).

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

45005616 is a wasteful number, since it uses less digits than its factorization.

45005616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8498 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45005616 is about 6708.6225113655. The cubic root of 45005616 is about 355.7041265097.

The spelling of 45005616 in words is "forty-five million, five thousand, six hundred sixteen".