2114144414112 has 96 divisors (see below), whose sum is σ = 5626911374784. Its totient is φ = 694956800000.

The previous prime is 2114144414093. The next prime is 2114144414237.

It is a happy number.

2114144414112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2114144414112.

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, 1999348 + ... + 2868044.

It is an arithmetic number, because the mean of its divisors is an integer number (58613660154).

Almost surely, 2^{2114144414112} 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 2114144414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813455687392).

2114144414112 is an abundant number, since it is smaller than the sum of its proper divisors (3512766960672).

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

2114144414112 is a wasteful number, since it uses less digits than its factorization.

2114144414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869062 (or 869054 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The spelling of 2114144414112 in words is "two trillion, one hundred fourteen billion, one hundred forty-four million, four hundred fourteen thousand, one hundred twelve".