45222181804800 has 6048 divisors, whose sum is σ = 235681621410816. Its totient is φ = 8277147648000.

The previous prime is 45222181804781. The next prime is 45222181804801. The reversal of 45222181804800 is 840818122254.

It is a happy number.

45222181804800 is a `hidden beast` number, since 4 + 522 + 2 + 1 + 8 + 1 + 80 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is not an unprimeable number, because it can be changed into a prime (45222181804801) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 107416108590 + ... + 107416109010.

Almost surely, 2^{45222181804800} is an apocalyptic number.

45222181804800 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 45222181804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117840810705408).

45222181804800 is an abundant number, since it is smaller than the sum of its proper divisors (190459439606016).

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

45222181804800 is a wasteful number, since it uses less digits than its factorization.

45222181804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 45222181804800 in words is "forty-five trillion, two hundred twenty-two billion, one hundred eighty-one million, eight hundred four thousand, eight hundred".