45081064828800 has 3456 divisors, whose sum is σ = 221693010739200. Its totient is φ = 8573954457600.

The previous prime is 45081064828781. The next prime is 45081064828817. The reversal of 45081064828800 is 882846018054.

45081064828800 is a `hidden beast` number, since 4 + 5 + 0 + 81 + 0 + 6 + 482 + 8 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 25628802321 + ... + 25628804079.

It is an arithmetic number, because the mean of its divisors is an integer number (64147283200).

Almost surely, 2^{45081064828800} is an apocalyptic number.

45081064828800 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 45081064828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110846505369600).

45081064828800 is an abundant number, since it is smaller than the sum of its proper divisors (176611945910400).

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

45081064828800 is a wasteful number, since it uses less digits than its factorization.

45081064828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 45081064828800 in words is "forty-five trillion, eighty-one billion, sixty-four million, eight hundred twenty-eight thousand, eight hundred".