114842880 has 144 divisors (see below), whose sum is σ = 407655360. Its totient is φ = 30615552.

The previous prime is 114842873. The next prime is 114842881. The reversal of 114842880 is 88248411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (114842881) 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 15 ways as a sum of consecutive naturals, for example, 32899 + ... + 36221.

It is an arithmetic number, because the mean of its divisors is an integer number (2830940).

Almost surely, 2^114842880 is an apocalyptic number.

114842880 is a gapful number since it is divisible by the number (10) 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 114842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203827680).

114842880 is an abundant number, since it is smaller than the sum of its proper divisors (292812480).

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

114842880 is an equidigital number, since it uses as much as digits as its factorization.

114842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 114842880 is about 10716.4770330552. The cubic root of 114842880 is about 486.0728438291.

The spelling of 114842880 in words is "one hundred fourteen million, eight hundred forty-two thousand, eight hundred eighty".