222044006216400 has 480 divisors, whose sum is σ = 763476097640448. Its totient is φ = 55019081779200.

The previous prime is 222044006216371. The next prime is 222044006216401. The reversal of 222044006216400 is 4612600440222.

222044006216400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222044006216401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 644204907 + ... + 644549493.

Almost surely, 2^{222044006216400} is an apocalyptic number.

222044006216400 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 222044006216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381738048820224).

222044006216400 is an abundant number, since it is smaller than the sum of its proper divisors (541432091424048).

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

222044006216400 is a wasteful number, since it uses less digits than its factorization.

222044006216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345299 (or 345288 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 222044006216400 its reverse (4612600440222), we get a palindrome (226656606656622).

The spelling of 222044006216400 in words is "two hundred twenty-two trillion, forty-four billion, six million, two hundred sixteen thousand, four hundred".