217245542712 has 128 divisors (see below), whose sum is σ = 605921472000. Its totient is φ = 64348643840.

The previous prime is 217245542681. The next prime is 217245542713.

217245542712 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217245542713) 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, 3734989 + ... + 3792707.

It is an arithmetic number, because the mean of its divisors is an integer number (4733761500).

Almost surely, 2^217245542712 is an apocalyptic number.

217245542712 is a gapful number since it is divisible by the number (22) 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 217245542712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302960736000).

217245542712 is an abundant number, since it is smaller than the sum of its proper divisors (388675929288).

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

217245542712 is a wasteful number, since it uses less digits than its factorization.

217245542712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58061 (or 58057 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

It can be divided in two parts, 217245 and 542712, that added together give a palindrome (759957).

The spelling of 217245542712 in words is "two hundred seventeen billion, two hundred forty-five million, five hundred forty-two thousand, seven hundred twelve".