214411311344 has 80 divisors (see below), whose sum is σ = 436081523520. Its totient is φ = 101931540480.

The previous prime is 214411311337. The next prime is 214411311353. The reversal of 214411311344 is 443113114412.

It is a happy number.

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, 63792224 + ... + 63795584.

It is an arithmetic number, because the mean of its divisors is an integer number (5451019044).

Almost surely, 2^214411311344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214411311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218040761760).

214411311344 is an abundant number, since it is smaller than the sum of its proper divisors (221670212176).

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

214411311344 is a wasteful number, since it uses less digits than its factorization.

214411311344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4372 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

Adding to 214411311344 its reverse (443113114412), we get a palindrome (657524425756).

The spelling of 214411311344 in words is "two hundred fourteen billion, four hundred eleven million, three hundred eleven thousand, three hundred forty-four".