222873134432256 has 4320 divisors, whose sum is σ = 937267340486400. Its totient is φ = 51939240837120.

The previous prime is 222873134432243. The next prime is 222873134432257. The reversal of 222873134432256 is 652234431378222.

222873134432256 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 7 + 313 + 44 + 32 + 256 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (222873134432257) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2821178916825 + ... + 2821178916903.

It is an arithmetic number, because the mean of its divisors is an integer number (216960032520).

Almost surely, 2^{222873134432256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222873134432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468633670243200).

222873134432256 is an abundant number, since it is smaller than the sum of its proper divisors (714394206054144).

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

222873134432256 is an equidigital number, since it uses as much as digits as its factorization.

222873134432256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 148 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 222873134432256 in words is "two hundred twenty-two trillion, eight hundred seventy-three billion, one hundred thirty-four million, four hundred thirty-two thousand, two hundred fifty-six".