222271728512640 has 256 divisors, whose sum is σ = 729418550112000. Its totient is φ = 57536200212480.

The previous prime is 222271728512611. The next prime is 222271728512641. The reversal of 222271728512640 is 46215827172222.

It is not an unprimeable number, because it can be changed into a prime (222271728512641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8570874 + ... + 22759686.

It is an arithmetic number, because the mean of its divisors is an integer number (2849291211375).

Almost surely, 2^{222271728512640} is an apocalyptic number.

222271728512640 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 222271728512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364709275056000).

222271728512640 is an abundant number, since it is smaller than the sum of its proper divisors (507146821599360).

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

222271728512640 is a wasteful number, since it uses less digits than its factorization.

222271728512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14189075 (or 14189063 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 222271728512640 in words is "two hundred twenty-two trillion, two hundred seventy-one billion, seven hundred twenty-eight million, five hundred twelve thousand, six hundred forty".