213454505454312 has 64 divisors (see below), whose sum is σ = 541560074342400. Its totient is φ = 70096504121280.

The previous prime is 213454505454269. The next prime is 213454505454313.

It is a happy number.

213454505454312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213454505454312² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213454505454313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44938012 + ... + 49460427.

It is an arithmetic number, because the mean of its divisors is an integer number (8461876161600).

Almost surely, 2^{213454505454312} is an apocalyptic number.

It is an amenable number.

213454505454312 is an abundant number, since it is smaller than the sum of its proper divisors (328105568888088).

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

213454505454312 is a wasteful number, since it uses less digits than its factorization.

213454505454312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94399846 (or 94399842 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

It can be divided in two parts, 21345450 and 5454312, that added together give a palindrome (26799762).

The spelling of 213454505454312 in words is "two hundred thirteen trillion, four hundred fifty-four billion, five hundred five million, four hundred fifty-four thousand, three hundred twelve".