45584550952920 has 256 divisors, whose sum is σ = 173956411468800. Its totient is φ = 10401267179520.

The previous prime is 45584550952901. The next prime is 45584550952981. The reversal of 45584550952920 is 2925905548554.

It is a happy number.

45584550952920 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 4 + 550 + 9 + 52 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862926 + ... + 9587165.

It is an arithmetic number, because the mean of its divisors is an integer number (679517232300).

Almost surely, 2^{45584550952920} is an apocalyptic number.

45584550952920 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 45584550952920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86978205734400).

45584550952920 is an abundant number, since it is smaller than the sum of its proper divisors (128371860515880).

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

45584550952920 is a wasteful number, since it uses less digits than its factorization.

45584550952920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450695 (or 10450685 counting only the distinct ones).

The product of its (nonzero) digits is 129600000, while the sum is 63.

The spelling of 45584550952920 in words is "forty-five trillion, five hundred eighty-four billion, five hundred fifty million, nine hundred fifty-two thousand, nine hundred twenty".