221888438486400 has 768 divisors, whose sum is σ = 839903492736000. Its totient is φ = 50435140976640.

The previous prime is 221888438486317. The next prime is 221888438486461. The reversal of 221888438486400 is 4684834888122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49101223341 + ... + 49101227859.

It is an arithmetic number, because the mean of its divisors is an integer number (1093624339500).

Almost surely, 2^{221888438486400} is an apocalyptic number.

221888438486400 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 221888438486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419951746368000).

221888438486400 is an abundant number, since it is smaller than the sum of its proper divisors (618015054249600).

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

221888438486400 is a wasteful number, since it uses less digits than its factorization.

221888438486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8459 (or 8442 counting only the distinct ones).

The product of its (nonzero) digits is 150994944, while the sum is 66.

The spelling of 221888438486400 in words is "two hundred twenty-one trillion, eight hundred eighty-eight billion, four hundred thirty-eight million, four hundred eighty-six thousand, four hundred".