214314412034132 has 24 divisors (see below), whose sum is σ = 389425303297800. Its totient is φ = 103077512349056.

The previous prime is 214314412033949. The next prime is 214314412034137. The reversal of 214314412034132 is 231430214413412.

It can be written as a sum of positive squares in 4 ways, for example, as 7036944620176 + 207277467413956 = 2652724^2 + 14397134^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214314412034092 and 214314412034101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214314412034137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3434054363 + ... + 3434116770.

It is an arithmetic number, because the mean of its divisors is an integer number (16226054304075).

Almost surely, 2^{214314412034132} is an apocalyptic number.

It is an amenable number.

214314412034132 is a deficient number, since it is larger than the sum of its proper divisors (175110891263668).

214314412034132 is a wasteful number, since it uses less digits than its factorization.

214314412034132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868171435 (or 6868171433 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 214314412034132 its reverse (231430214413412), we get a palindrome (445744626447544).

The spelling of 214314412034132 in words is "two hundred fourteen trillion, three hundred fourteen billion, four hundred twelve million, thirty-four thousand, one hundred thirty-two".