217074727338048 has 672 divisors, whose sum is σ = 668511554780160. Its totient is φ = 69801280174080.

The previous prime is 217074727338041. The next prime is 217074727338061. The reversal of 217074727338048 is 840833727470712.

It is a happy number.

217074727338048 is a `hidden beast` number, since 2 + 17 + 0 + 7 + 472 + 7 + 33 + 80 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (217074727338041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22179899811 + ... + 22179909597.

It is an arithmetic number, because the mean of its divisors is an integer number (994808861280).

Almost surely, 2^{217074727338048} 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 217074727338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334255777390080).

217074727338048 is an abundant number, since it is smaller than the sum of its proper divisors (451436827442112).

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

217074727338048 is an equidigital number, since it uses as much as digits as its factorization.

217074727338048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10317 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 63.

The spelling of 217074727338048 in words is "two hundred seventeen trillion, seventy-four billion, seven hundred twenty-seven million, three hundred thirty-eight thousand, forty-eight".