213415514312 has 256 divisors, whose sum is σ = 543449088000. Its totient is φ = 75875834880.

The previous prime is 213415514287. The next prime is 213415514339.

213415514312 is nontrivially palindromic in base 10.

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, 456992303 + ... + 456992769.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848000).

Almost surely, 2^213415514312 is an apocalyptic number.

213415514312 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 213415514312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271724544000).

213415514312 is an abundant number, since it is smaller than the sum of its proper divisors (330033573688).

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

213415514312 is a wasteful number, since it uses less digits than its factorization.

213415514312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

It can be divided in two parts, 213415 and 514312, that added together give a palindrome (727727).

The spelling of 213415514312 in words is "two hundred thirteen billion, four hundred fifteen million, five hundred fourteen thousand, three hundred twelve".