45587746805760 has 1152 divisors, whose sum is σ = 174200387961600. Its totient is φ = 11401681305600.

The previous prime is 45587746805747. The next prime is 45587746805767. The reversal of 45587746805760 is 6750864778554.

45587746805760 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 7 + 7 + 46 + 8 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45587746805767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4775081307 + ... + 4775090853.

It is an arithmetic number, because the mean of its divisors is an integer number (151215614550).

Almost surely, 2^{45587746805760} is an apocalyptic number.

45587746805760 is a gapful number since it is divisible by the number (40) 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 45587746805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87100193980800).

45587746805760 is an abundant number, since it is smaller than the sum of its proper divisors (128612641155840).

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

45587746805760 is a wasteful number, since it uses less digits than its factorization.

45587746805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9709 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 1580544000, while the sum is 72.

The spelling of 45587746805760 in words is "forty-five trillion, five hundred eighty-seven billion, seven hundred forty-six million, eight hundred five thousand, seven hundred sixty".