114984576 has 256 divisors, whose sum is σ = 399840000. Its totient is φ = 32514048.

The previous prime is 114984559. The next prime is 114984577. The reversal of 114984576 is 675489411.

It is not an unprimeable number, because it can be changed into a prime (114984577) 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 31 ways as a sum of consecutive naturals, for example, 1185360 + ... + 1185456.

It is an arithmetic number, because the mean of its divisors is an integer number (1561875).

Almost surely, 2^114984576 is an apocalyptic number.

114984576 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 114984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199920000).

114984576 is an abundant number, since it is smaller than the sum of its proper divisors (284855424).

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

114984576 is an frugal number, since it uses more digits than its factorization.

114984576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 114984576 is about 10723.0861229405. The cubic root of 114984576 is about 486.2726712532.

The spelling of 114984576 in words is "one hundred fourteen million, nine hundred eighty-four thousand, five hundred seventy-six".