214301334344000 has 112 divisors (see below), whose sum is σ = 533467088680656. Its totient is φ = 85276385280000.

The previous prime is 214301334343981. The next prime is 214301334344047. The reversal of 214301334344000 is 443433103412.

It can be written as a sum of positive squares in 8 ways, for example, as 175303107883264 + 38998226460736 = 13240208^2 + 6244856^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 67854101 + ... + 70942100.

Almost surely, 2^{214301334344000} is an apocalyptic number.

214301334344000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214301334344000 is an abundant number, since it is smaller than the sum of its proper divisors (319165754336656).

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

214301334344000 is a wasteful number, since it uses less digits than its factorization.

214301334344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138796421 (or 138796401 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 214301334344000 its reverse (443433103412), we get a palindrome (214744767447412).

The spelling of 214301334344000 in words is "two hundred fourteen trillion, three hundred one billion, three hundred thirty-four million, three hundred forty-four thousand".