213436505634312 has 64 divisors (see below), whose sum is σ = 537718862324160. Its totient is φ = 70595265312000.

The previous prime is 213436505634277. The next prime is 213436505634323.

213436505634312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27700458 + ... + 34557030.

It is an arithmetic number, because the mean of its divisors is an integer number (8401857223815).

Almost surely, 2^{213436505634312} is an apocalyptic number.

It is an amenable number.

213436505634312 is an abundant number, since it is smaller than the sum of its proper divisors (324282356689848).

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

213436505634312 is a wasteful number, since it uses less digits than its factorization.

213436505634312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866614 (or 6866610 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

It can be divided in two parts, 21343650 and 5634312, that added together give a palindrome (26977962).

The spelling of 213436505634312 in words is "two hundred thirteen trillion, four hundred thirty-six billion, five hundred five million, six hundred thirty-four thousand, three hundred twelve".