45563549328000 has 1024 divisors, whose sum is σ = 193852535385600. Its totient is φ = 10395942912000.

The previous prime is 45563549327971. The next prime is 45563549328061. The reversal of 45563549328000 is 82394536554.

It is a happy number.

45563549328000 is a `hidden beast` number, since 4 + 5 + 5 + 6 + 354 + 9 + 3 + 280 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 80501992 + ... + 81066008.

Almost surely, 2^{45563549328000} is an apocalyptic number.

45563549328000 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 45563549328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96926267692800).

45563549328000 is an abundant number, since it is smaller than the sum of its proper divisors (148288986057600).

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

45563549328000 is a wasteful number, since it uses less digits than its factorization.

45563549328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564083 (or 564055 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 45563549328000 in words is "forty-five trillion, five hundred sixty-three billion, five hundred forty-nine million, three hundred twenty-eight thousand".