217031129952 has 1152 divisors, whose sum is σ = 798545018880. Its totient is φ = 50160107520.

The previous prime is 217031129951. The next prime is 217031129977. The reversal of 217031129952 is 259921130712.

It is a super-2 number, since 2×217031129952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217031129951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3678493699 + ... + 3678493757.

It is an arithmetic number, because the mean of its divisors is an integer number (693181440).

Almost surely, 2^217031129952 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 217031129952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399272509440).

217031129952 is an abundant number, since it is smaller than the sum of its proper divisors (581513888928).

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

217031129952 is a wasteful number, since it uses less digits than its factorization.

217031129952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 217031129952 in words is "two hundred seventeen billion, thirty-one million, one hundred twenty-nine thousand, nine hundred fifty-two".