2114410233312 has 288 divisors, whose sum is σ = 6687981675648. Its totient is φ = 629564203008.

The previous prime is 2114410233311. The next prime is 2114410233319. The reversal of 2114410233312 is 2133320144112.

2114410233312 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 410 + 233 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114410233311) 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 47 ways as a sum of consecutive naturals, for example, 14412553 + ... + 14558519.

It is an arithmetic number, because the mean of its divisors is an integer number (23222158596).

Almost surely, 2^{2114410233312} 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 2114410233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343990837824).

2114410233312 is an abundant number, since it is smaller than the sum of its proper divisors (4573571442336).

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

2114410233312 is a wasteful number, since it uses less digits than its factorization.

2114410233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146122 (or 146111 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2114410233312 its reverse (2133320144112), we get a palindrome (4247730377424).

The spelling of 2114410233312 in words is "two trillion, one hundred fourteen billion, four hundred ten million, two hundred thirty-three thousand, three hundred twelve".