45807687744 has 448 divisors, whose sum is σ = 153209548800. Its totient is φ = 11758804992.

The previous prime is 45807687707. The next prime is 45807687749. The reversal of 45807687744 is 44778670854.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (45807687749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127597837 + ... + 127598195.

It is an arithmetic number, because the mean of its divisors is an integer number (341985600).

Almost surely, 2^45807687744 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 45807687744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76604774400).

45807687744 is an abundant number, since it is smaller than the sum of its proper divisors (107401861056).

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

45807687744 is a wasteful number, since it uses less digits than its factorization.

45807687744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 60.

The spelling of 45807687744 in words is "forty-five billion, eight hundred seven million, six hundred eighty-seven thousand, seven hundred forty-four".