114461568 has 96 divisors (see below), whose sum is σ = 354758040. Its totient is φ = 35214336.

The previous prime is 114461563. The next prime is 114461569. The reversal of 114461568 is 865164411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114461563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11155 + ... + 18797.

Almost surely, 2^114461568 is an apocalyptic number.

114461568 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 114461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177379020).

114461568 is an abundant number, since it is smaller than the sum of its proper divisors (240296472).

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

114461568 is a wasteful number, since it uses less digits than its factorization.

114461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7661 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 114461568 is about 10698.6713193742. The cubic root of 114461568 is about 485.5342792524.

The spelling of 114461568 in words is "one hundred fourteen million, four hundred sixty-one thousand, five hundred sixty-eight".