114104321214 has 128 divisors (see below), whose sum is σ = 261687283200. Its totient is φ = 32919129600.

The previous prime is 114104321203. The next prime is 114104321347. The reversal of 114104321214 is 412123401411.

It is a happy number.

114104321214 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114104321214² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11071864 + ... + 11082164.

It is an arithmetic number, because the mean of its divisors is an integer number (2044431900).

Almost surely, 2^114104321214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114104321214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130843641600).

114104321214 is an abundant number, since it is smaller than the sum of its proper divisors (147582961986).

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

114104321214 is a wasteful number, since it uses less digits than its factorization.

114104321214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10490.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114104321214 its reverse (412123401411), we get a palindrome (526227722625).

The spelling of 114104321214 in words is "one hundred fourteen billion, one hundred four million, three hundred twenty-one thousand, two hundred fourteen".