213450054312 has 64 divisors (see below), whose sum is σ = 607446812160. Its totient is φ = 61869579200.

The previous prime is 213450054287. The next prime is 213450054407.

213450054312 is nontrivially palindromic in base 10.

213450054312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213450054312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17570514 + ... + 17582657.

It is an arithmetic number, because the mean of its divisors is an integer number (9491356440).

Almost surely, 2^213450054312 is an apocalyptic number.

213450054312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213450054312 is an abundant number, since it is smaller than the sum of its proper divisors (393996757848).

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

213450054312 is a wasteful number, since it uses less digits than its factorization.

213450054312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35153214 (or 35153210 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 2134500 and 54312, that added together give a palindrome (2188812).

The spelling of 213450054312 in words is "two hundred thirteen billion, four hundred fifty million, fifty-four thousand, three hundred twelve".