45012844800 has 1728 divisors, whose sum is σ = 218985984000. Its totient is φ = 8758886400.

The previous prime is 45012844739. The next prime is 45012844813. The reversal of 45012844800 is 844821054.

45012844800 is a `hidden beast` number, since 4 + 50 + 128 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226195101 + ... + 226195299.

It is an arithmetic number, because the mean of its divisors is an integer number (126728000).

Almost surely, 2^45012844800 is an apocalyptic number.

45012844800 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 45012844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109492992000).

45012844800 is an abundant number, since it is smaller than the sum of its proper divisors (173973139200).

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

45012844800 is a wasteful number, since it uses less digits than its factorization.

45012844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 45012844800 in words is "forty-five billion, twelve million, eight hundred forty-four thousand, eight hundred".