45822412800 has 864 divisors, whose sum is σ = 177438643200. Its totient is φ = 11705057280.

The previous prime is 45822412789. The next prime is 45822412859. The reversal of 45822412800 is 821422854.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 360806337 + ... + 360806463.

It is an arithmetic number, because the mean of its divisors is an integer number (205368800).

Almost surely, 2^45822412800 is an apocalyptic number.

45822412800 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 45822412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88719321600).

45822412800 is an abundant number, since it is smaller than the sum of its proper divisors (131616230400).

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

45822412800 is a wasteful number, since it uses less digits than its factorization.

45822412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

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

The spelling of 45822412800 in words is "forty-five billion, eight hundred twenty-two million, four hundred twelve thousand, eight hundred".