2114334334112 has 1296 divisors, whose sum is σ = 6242553950976. Its totient is φ = 700193894400.

The previous prime is 2114334334111. The next prime is 2114334334139.

2114334334112 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (2114334334111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 34661218562 + ... + 34661218622.

It is an arithmetic number, because the mean of its divisors is an integer number (4816785456).

Almost surely, 2^{2114334334112} is an apocalyptic number.

2114334334112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114334334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121276975488).

2114334334112 is an abundant number, since it is smaller than the sum of its proper divisors (4128219616864).

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

2114334334112 is a wasteful number, since it uses less digits than its factorization.

2114334334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 164 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 2114334334112 in words is "two trillion, one hundred fourteen billion, three hundred thirty-four million, three hundred thirty-four thousand, one hundred twelve".