114363216 has 240 divisors, whose sum is σ = 384403968. Its totient is φ = 31334400.

The previous prime is 114363191. The next prime is 114363217. The reversal of 114363216 is 612363411.

114363216 is a `hidden beast` number, since 1 + 14 + 3 + 632 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114363216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114363217) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 834700 + ... + 834836.

Almost surely, 2^114363216 is an apocalyptic number.

114363216 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 114363216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192201984).

114363216 is an abundant number, since it is smaller than the sum of its proper divisors (270040752).

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

114363216 is a wasteful number, since it uses less digits than its factorization.

114363216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 114363216 is about 10694.0738729448. The cubic root of 114363216 is about 485.3951730230.

It can be divided in two parts, 11436 and 3216, that multiplied together give a triangular number (36778176 = T₈₅₇₆).

The spelling of 114363216 in words is "one hundred fourteen million, three hundred sixty-three thousand, two hundred sixteen".