114846144 has 56 divisors (see below), whose sum is σ = 347276928. Its totient is φ = 32812800.

The previous prime is 114846143. The next prime is 114846161. The reversal of 114846144 is 441648411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114846143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41382 + ... + 44069.

Almost surely, 2^114846144 is an apocalyptic number.

114846144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114846144 is an abundant number, since it is smaller than the sum of its proper divisors (232430784).

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

114846144 is an equidigital number, since it uses as much as digits as its factorization.

114846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85473 (or 85463 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 114846144 is about 10716.6293208266. The cubic root of 114846144 is about 486.0774487488.

The spelling of 114846144 in words is "one hundred fourteen million, eight hundred forty-six thousand, one hundred forty-four".