114466944 has 128 divisors (see below), whose sum is σ = 331704000. Its totient is φ = 34836480.

The previous prime is 114466943. The next prime is 114466951. The reversal of 114466944 is 449664411.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (114466943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211314 + ... + 211854.

Almost surely, 2^114466944 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 114466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165852000).

114466944 is an abundant number, since it is smaller than the sum of its proper divisors (217237056).

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

114466944 is a wasteful number, since it uses less digits than its factorization.

114466944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 114466944 is about 10698.9225625761. The cubic root of 114466944 is about 485.5418806144.

It can be divided in two parts, 114 and 466944, that multiplied together give a square (53231616 = 7296²).

The spelling of 114466944 in words is "one hundred fourteen million, four hundred sixty-six thousand, nine hundred forty-four".