45283607928000 has 1568 divisors, whose sum is σ = 182419375145280. Its totient is φ = 11063966515200.

The previous prime is 45283607927941. The next prime is 45283607928037. The reversal of 45283607928000 is 82970638254.

45283607928000 is a `hidden beast` number, since 4 + 5 + 2 + 8 + 3 + 607 + 9 + 28 + 0 + 0 + 0 = 666.

45283607928000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10538421852 + ... + 10538426148.

It is an arithmetic number, because the mean of its divisors is an integer number (116338887210).

Almost surely, 2^{45283607928000} is an apocalyptic number.

45283607928000 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 45283607928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91209687572640).

45283607928000 is an abundant number, since it is smaller than the sum of its proper divisors (137135767217280).

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

45283607928000 is a wasteful number, since it uses less digits than its factorization.

45283607928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 45283607928000 in words is "forty-five trillion, two hundred eighty-three billion, six hundred seven million, nine hundred twenty-eight thousand".