45064470528000 has 4032 divisors, whose sum is σ = 214547897491200. Its totient is φ = 9364045824000.

The previous prime is 45064470527981. The next prime is 45064470528013. The reversal of 45064470528000 is 82507446054.

45064470528000 is a `hidden beast` number, since 4 + 50 + 6 + 4 + 4 + 70 + 528 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4096770047995 + ... + 4096770048005.

It is an arithmetic number, because the mean of its divisors is an integer number (53211284100).

Almost surely, 2^{45064470528000} is an apocalyptic number.

45064470528000 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 45064470528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107273948745600).

45064470528000 is an abundant number, since it is smaller than the sum of its proper divisors (169483426963200).

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

45064470528000 is an frugal number, since it uses more digits than its factorization.

45064470528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 45064470528000 in words is "forty-five trillion, sixty-four billion, four hundred seventy million, five hundred twenty-eight thousand".