213453666354312 has 128 divisors (see below), whose sum is σ = 619273121040000. Its totient is φ = 68054856369408.

The previous prime is 213453666354311. The next prime is 213453666354319.

It is a happy number.

213453666354312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213453666354312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (213453666354311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 225870987 + ... + 226814042.

It is an arithmetic number, because the mean of its divisors is an integer number (4838071258125).

Almost surely, 2^{213453666354312} is an apocalyptic number.

It is an amenable number.

213453666354312 is an abundant number, since it is smaller than the sum of its proper divisors (405819454685688).

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

213453666354312 is a wasteful number, since it uses less digits than its factorization.

213453666354312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452685140 (or 452685130 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 54.

The spelling of 213453666354312 in words is "two hundred thirteen trillion, four hundred fifty-three billion, six hundred sixty-six million, three hundred fifty-four thousand, three hundred twelve".