114727968 has 192 divisors, whose sum is σ = 362517120. Its totient is φ = 35168256.

The previous prime is 114727967. The next prime is 114727997. The reversal of 114727968 is 869727411.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (169344) is a multiple of the sum of its prime factors (216).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (114727967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072171 + ... + 1072277.

It is an arithmetic number, because the mean of its divisors is an integer number (1888110).

Almost surely, 2^114727968 is an apocalyptic number.

114727968 is a gapful number since it is divisible by the number (18) 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 114727968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181258560).

114727968 is an abundant number, since it is smaller than the sum of its proper divisors (247789152).

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

114727968 is a wasteful number, since it uses less digits than its factorization.

114727968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 114727968 is about 10711.1142277543. The cubic root of 114727968 is about 485.9106679277.

The spelling of 114727968 in words is "one hundred fourteen million, seven hundred twenty-seven thousand, nine hundred sixty-eight".