213645546312 has 96 divisors (see below), whose sum is σ = 587630665440. Its totient is φ = 64680774400.

The previous prime is 213645546307. The next prime is 213645546349.

213645546312 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3134548 + ... + 3201980.

It is an arithmetic number, because the mean of its divisors is an integer number (6121152765).

Almost surely, 2^213645546312 is an apocalyptic number.

213645546312 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 213645546312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293815332720).

213645546312 is an abundant number, since it is smaller than the sum of its proper divisors (373985119128).

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

213645546312 is a wasteful number, since it uses less digits than its factorization.

213645546312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68555 (or 68540 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 213645 and 546312, that added together give a palindrome (759957).

The spelling of 213645546312 in words is "two hundred thirteen billion, six hundred forty-five million, five hundred forty-six thousand, three hundred twelve".