222774909940800 has 2688 divisors, whose sum is σ = 1008975821414400. Its totient is φ = 46709194752000.

The previous prime is 222774909940727. The next prime is 222774909940831. The reversal of 222774909940800 is 8049909477222.

222774909940800 is a `hidden beast` number, since 2 + 2 + 27 + 7 + 490 + 9 + 9 + 40 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16824622180 + ... + 16824635420.

It is an arithmetic number, because the mean of its divisors is an integer number (375363028800).

Almost surely, 2^{222774909940800} is an apocalyptic number.

222774909940800 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 222774909940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504487910707200).

222774909940800 is an abundant number, since it is smaller than the sum of its proper divisors (786200911473600).

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

222774909940800 is a wasteful number, since it uses less digits than its factorization.

222774909940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13402 (or 13381 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 222774909940800 in words is "two hundred twenty-two trillion, seven hundred seventy-four billion, nine hundred nine million, nine hundred forty thousand, eight hundred".