114211968 has 128 divisors (see below), whose sum is σ = 331067520. Its totient is φ = 34676736.

The previous prime is 114211939. The next prime is 114211987. The reversal of 114211968 is 869112411.

It is a Cunningham number, because it is equal to 10687²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683821 + ... + 683987.

It is an arithmetic number, because the mean of its divisors is an integer number (2586465).

Almost surely, 2^114211968 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 114211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165533760).

114211968 is an abundant number, since it is smaller than the sum of its proper divisors (216855552).

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

114211968 is a wasteful number, since it uses less digits than its factorization.

114211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 114211968 is about 10686.9999532142. Note that the first 4 decimals coincide. The cubic root of 114211968 is about 485.1810965047.

The spelling of 114211968 in words is "one hundred fourteen million, two hundred eleven thousand, nine hundred sixty-eight".