221303318400 has 384 divisors, whose sum is σ = 828757670400. Its totient is φ = 57640826880.

The previous prime is 221303318399. The next prime is 221303318429. The reversal of 221303318400 is 4813303122.

221303318400 is a `hidden beast` number, since 2 + 2 + 1 + 303 + 318 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3685417 + ... + 3744983.

It is an arithmetic number, because the mean of its divisors is an integer number (2158223100).

Almost surely, 2^221303318400 is an apocalyptic number.

221303318400 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 221303318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414378835200).

221303318400 is an abundant number, since it is smaller than the sum of its proper divisors (607454352000).

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

221303318400 is a wasteful number, since it uses less digits than its factorization.

221303318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59643 (or 59620 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 221303318400 in words is "two hundred twenty-one billion, three hundred three million, three hundred eighteen thousand, four hundred".