213617716312 has 256 divisors, whose sum is σ = 544537728000. Its totient is φ = 76498329600.

The previous prime is 213617716309. The next prime is 213617716327.

213617716312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213617716312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435066387 + ... + 435066877.

It is an arithmetic number, because the mean of its divisors is an integer number (2127100500).

Almost surely, 2^213617716312 is an apocalyptic number.

213617716312 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 213617716312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272268864000).

213617716312 is an abundant number, since it is smaller than the sum of its proper divisors (330920011688).

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

213617716312 is a wasteful number, since it uses less digits than its factorization.

213617716312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 973 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

It can be divided in two parts, 213617 and 716312, that added together give a palindrome (929929).

The spelling of 213617716312 in words is "two hundred thirteen billion, six hundred seventeen million, seven hundred sixteen thousand, three hundred twelve".