114716160 has 240 divisors, whose sum is σ = 428972544. Its totient is φ = 28164096.

The previous prime is 114716159. The next prime is 114716183. The reversal of 114716160 is 61617411.

114716160 = 345² + 346² + ... + 727².

114716160 is a `hidden beast` number, since 1 + 1 + 47 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299329 + ... + 299711.

Almost surely, 2^114716160 is an apocalyptic number.

114716160 is a gapful number since it is divisible by the number (10) 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 114716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

114716160 is an abundant number, since it is smaller than the sum of its proper divisors (314256384).

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

114716160 is a wasteful number, since it uses less digits than its factorization.

114716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 114716160 is about 10710.5630104117. The cubic root of 114716160 is about 485.8939971016.

The spelling of 114716160 in words is "one hundred fourteen million, seven hundred sixteen thousand, one hundred sixty".