45200687616 has 240 divisors, whose sum is σ = 150020380224. Its totient is φ = 12833759232.

The previous prime is 45200687611. The next prime is 45200687641. The reversal of 45200687616 is 61678600254.

45200687616 is a `hidden beast` number, since 4 + 5 + 20 + 0 + 6 + 8 + 7 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (45200687611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5253430 + ... + 5262026.

Almost surely, 2^45200687616 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 45200687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75010190112).

45200687616 is an abundant number, since it is smaller than the sum of its proper divisors (104819692608).

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

45200687616 is a wasteful number, since it uses less digits than its factorization.

45200687616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8791 (or 8772 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45200687616 in words is "forty-five billion, two hundred million, six hundred eighty-seven thousand, six hundred sixteen".