114916956 has 144 divisors (see below), whose sum is σ = 345502080. Its totient is φ = 29393280.

The previous prime is 114916951. The next prime is 114916981. The reversal of 114916956 is 659619411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114916951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704931 + ... + 705093.

It is an arithmetic number, because the mean of its divisors is an integer number (2399320).

Almost surely, 2^114916956 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 114916956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172751040).

114916956 is an abundant number, since it is smaller than the sum of its proper divisors (230585124).

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

114916956 is a wasteful number, since it uses less digits than its factorization.

114916956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 114916956 is about 10719.9326490422. The cubic root of 114916956 is about 486.1773303331.

The spelling of 114916956 in words is "one hundred fourteen million, nine hundred sixteen thousand, nine hundred fifty-six".