114144576 has 224 divisors, whose sum is σ = 382341120. Its totient is φ = 29251584.

The previous prime is 114144553. The next prime is 114144581. The reversal of 114144576 is 675441411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 821115 + ... + 821253.

It is an arithmetic number, because the mean of its divisors is an integer number (1706880).

Almost surely, 2^114144576 is an apocalyptic number.

114144576 is a gapful number since it is divisible by the number (16) 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 114144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191170560).

114144576 is an abundant number, since it is smaller than the sum of its proper divisors (268196544).

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

114144576 is a wasteful number, since it uses less digits than its factorization.

114144576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 114144576 is about 10683.8464983357. The cubic root of 114144576 is about 485.0856489544.

Adding to 114144576 its reverse (675441411), we get a palindrome (789585987).

The spelling of 114144576 in words is "one hundred fourteen million, one hundred forty-four thousand, five hundred seventy-six".