45589176548640 has 576 divisors, whose sum is σ = 166068700761600. Its totient is φ = 11678695022592.

The previous prime is 45589176548623. The next prime is 45589176548681. The reversal of 45589176548640 is 4684567198554.

45589176548640 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 9 + 1 + 76 + 548 + 6 + 4 + 0 = 666.

45589176548640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467163532 + ... + 467261108.

It is an arithmetic number, because the mean of its divisors is an integer number (288313716600).

Almost surely, 2^{45589176548640} is an apocalyptic number.

45589176548640 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 45589176548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83034350380800).

45589176548640 is an abundant number, since it is smaller than the sum of its proper divisors (120479524212960).

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

45589176548640 is a wasteful number, since it uses less digits than its factorization.

45589176548640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97754 (or 97703 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 45589176548640 in words is "forty-five trillion, five hundred eighty-nine billion, one hundred seventy-six million, five hundred forty-eight thousand, six hundred forty".