213444525444312 has 128 divisors (see below), whose sum is σ = 546997158316800. Its totient is φ = 69384807360000.

The previous prime is 213444525444299. The next prime is 213444525444317.

213444525444312 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 (213444525444317) 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, 1607935239 + ... + 1608067977.

It is an arithmetic number, because the mean of its divisors is an integer number (4273415299350).

Almost surely, 2^{213444525444312} is an apocalyptic number.

It is an amenable number.

213444525444312 is an abundant number, since it is smaller than the sum of its proper divisors (333552632872488).

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

213444525444312 is a wasteful number, since it uses less digits than its factorization.

213444525444312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142817 (or 142813 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 48.

The spelling of 213444525444312 in words is "two hundred thirteen trillion, four hundred forty-four billion, five hundred twenty-five million, four hundred forty-four thousand, three hundred twelve".