114715968 has 56 divisors (see below), whose sum is σ = 304434240. Its totient is φ = 38123520.

The previous prime is 114715957. The next prime is 114715969. The reversal of 114715968 is 869517411.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114715969) 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 7 ways as a sum of consecutive naturals, for example, 83608 + ... + 84968.

Almost surely, 2^114715968 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 114715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152217120).

114715968 is an abundant number, since it is smaller than the sum of its proper divisors (189718272).

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

114715968 is a wasteful number, since it uses less digits than its factorization.

114715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1805 counting only the distinct ones).

The product of its digits is 60480, while the sum is 42.

The square root of 114715968 is about 10710.5540472937. The cubic root of 114715968 is about 485.8937260218.

The spelling of 114715968 in words is "one hundred fourteen million, seven hundred fifteen thousand, nine hundred sixty-eight".