45578332800 has 3072 divisors, whose sum is σ = 244784332800. Its totient is φ = 7962624000.

The previous prime is 45578332777. The next prime is 45578332867. The reversal of 45578332800 is 823387554.

45578332800 is a `hidden beast` number, since 45 + 578 + 3 + 32 + 8 + 0 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 383 ways as a sum of consecutive naturals, for example, 1470268785 + ... + 1470268815.

It is an arithmetic number, because the mean of its divisors is an integer number (79682400).

Almost surely, 2^45578332800 is an apocalyptic number.

45578332800 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 45578332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122392166400).

45578332800 is an abundant number, since it is smaller than the sum of its proper divisors (199206000000).

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

45578332800 is a wasteful number, since it uses less digits than its factorization.

45578332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45578332800 in words is "forty-five billion, five hundred seventy-eight million, three hundred thirty-two thousand, eight hundred".