114758016 has 128 divisors (see below), whose sum is σ = 322328160. Its totient is φ = 36126720.

The previous prime is 114758003. The next prime is 114758023. The reversal of 114758016 is 610857411.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582430 + ... + 582626.

Almost surely, 2^114758016 is an apocalyptic number.

114758016 is a gapful number since it is divisible by the number (16) 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 114758016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161164080).

114758016 is an abundant number, since it is smaller than the sum of its proper divisors (207570144).

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

114758016 is a wasteful number, since it uses less digits than its factorization.

114758016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 114758016 is about 10712.5167911187. The cubic root of 114758016 is about 485.9530852781.

It can be divided in two parts, 11475 and 8016, that added together give a palindrome (19491).

The spelling of 114758016 in words is "one hundred fourteen million, seven hundred fifty-eight thousand, sixteen".