222322434048000 has 4896 divisors, whose sum is σ = 997802914058496. Its totient is φ = 49049763840000.

The previous prime is 222322434047983. The next prime is 222322434048019. The reversal of 222322434048000 is 840434223222.

222322434048000 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 2 + 243 + 404 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3131301887965 + ... + 3131301888035.

Almost surely, 2^{222322434048000} is an apocalyptic number.

222322434048000 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 222322434048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498901457029248).

222322434048000 is an abundant number, since it is smaller than the sum of its proper divisors (775480480010496).

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

222322434048000 is an frugal number, since it uses more digits than its factorization.

222322434048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 222322434048000 in words is "two hundred twenty-two trillion, three hundred twenty-two billion, four hundred thirty-four million, forty-eight thousand".