45860584939488 has 384 divisors, whose sum is σ = 151616961216000. Its totient is φ = 13358806917120.

The previous prime is 45860584939471. The next prime is 45860584939489. The reversal of 45860584939488 is 88493948506854.

45860584939488 is a `hidden beast` number, since 4 + 5 + 8 + 60 + 5 + 8 + 49 + 39 + 488 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45860584939489) 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, 62198328 + ... + 62931336.

It is an arithmetic number, because the mean of its divisors is an integer number (394835836500).

Almost surely, 2^{45860584939488} is an apocalyptic number.

45860584939488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45860584939488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75808480608000).

45860584939488 is an abundant number, since it is smaller than the sum of its proper divisors (105756376276512).

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

45860584939488 is a wasteful number, since it uses less digits than its factorization.

45860584939488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733295 (or 733281 counting only the distinct ones).

The product of its (nonzero) digits is 9555148800, while the sum is 81.

The spelling of 45860584939488 in words is "forty-five trillion, eight hundred sixty billion, five hundred eighty-four million, nine hundred thirty-nine thousand, four hundred eighty-eight".