222363648000 has 960 divisors, whose sum is σ = 893134242000. Its totient is φ = 52848230400.

The previous prime is 222363647981. The next prime is 222363648011. The reversal of 222363648000 is 846363222.

222363648000 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 6 + 3 + 648 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2359296 + 222361288704 = 1536^2 + 471552^2 .

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7667711986 + ... + 7667712014.

Almost surely, 2^222363648000 is an apocalyptic number.

222363648000 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 222363648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446567121000).

222363648000 is an abundant number, since it is smaller than the sum of its proper divisors (670770594000).

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

222363648000 is an frugal number, since it uses more digits than its factorization.

222363648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 222363648000 in words is "two hundred twenty-two billion, three hundred sixty-three million, six hundred forty-eight thousand".