114295968 has 48 divisors (see below), whose sum is σ = 333365760. Its totient is φ = 38098368.

The previous prime is 114295967. The next prime is 114295991. The reversal of 114295968 is 869592411.

114295968 is a `hidden beast` number, since 11 + 42 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (114295967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65280 + ... + 67007.

It is an arithmetic number, because the mean of its divisors is an integer number (6945120).

Almost surely, 2^114295968 is an apocalyptic number.

114295968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114295968 is an abundant number, since it is smaller than the sum of its proper divisors (219069792).

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

114295968 is a wasteful number, since it uses less digits than its factorization.

114295968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132306 (or 132292 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 114295968 is about 10690.9292393131. The cubic root of 114295968 is about 485.3000134782.

The spelling of 114295968 in words is "one hundred fourteen million, two hundred ninety-five thousand, nine hundred sixty-eight".