221866046870400 has 960 divisors, whose sum is σ = 862452245952000. Its totient is φ = 56009629716480.

The previous prime is 221866046870389. The next prime is 221866046870407. The reversal of 221866046870400 is 4078640668122.

It is a happy number.

221866046870400 is a `hidden beast` number, since 2 + 2 + 1 + 86 + 60 + 468 + 7 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221866046870407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7086771547 + ... + 7086802853.

It is an arithmetic number, because the mean of its divisors is an integer number (898387756200).

Almost surely, 2^{221866046870400} is an apocalyptic number.

221866046870400 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 221866046870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431226122976000).

221866046870400 is an abundant number, since it is smaller than the sum of its proper divisors (640586199081600).

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

221866046870400 is a wasteful number, since it uses less digits than its factorization.

221866046870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32801 (or 32775 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 221866046870400 in words is "two hundred twenty-one trillion, eight hundred sixty-six billion, forty-six million, eight hundred seventy thousand, four hundred".