221814117446400 has 2160 divisors, whose sum is σ = 854277989931520. Its totient is φ = 56741459558400.

The previous prime is 221814117446329. The next prime is 221814117446407. The reversal of 221814117446400 is 4644711418122.

221814117446400 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 14 + 1 + 174 + 464 + 0 + 0 = 666.

221814117446400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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 (221814117446407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 722521555047 + ... + 722521555353.

Almost surely, 2^{221814117446400} is an apocalyptic number.

221814117446400 is a gapful number since it is divisible by the number (20) 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 221814117446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427138994965760).

221814117446400 is an abundant number, since it is smaller than the sum of its proper divisors (632463872485120).

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

221814117446400 is a wasteful number, since it uses less digits than its factorization.

221814117446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 221814117446400 in words is "two hundred twenty-one trillion, eight hundred fourteen billion, one hundred seventeen million, four hundred forty-six thousand, four hundred".