114256416 has 96 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 36910080.

The previous prime is 114256411. The next prime is 114256427. The reversal of 114256416 is 614652411.

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

It is not an unprimeable number, because it can be changed into a prime (114256411) by changing a digit.

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, 638215 + ... + 638393.

It is an arithmetic number, because the mean of its divisors is an integer number (3222450).

Almost surely, 2^114256416 is an apocalyptic number.

114256416 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 114256416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

114256416 is an abundant number, since it is smaller than the sum of its proper divisors (195098784).

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

114256416 is a wasteful number, since it uses less digits than its factorization.

114256416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 114256416 is about 10689.0792868235. The cubic root of 114256416 is about 485.2440278327.

The spelling of 114256416 in words is "one hundred fourteen million, two hundred fifty-six thousand, four hundred sixteen".