114153444 has 72 divisors (see below), whose sum is σ = 305963840. Its totient is φ = 35785152.

The previous prime is 114153443. The next prime is 114153449. The reversal of 114153444 is 444351411.

It is a super-2 number, since 2×114153444² = 26062017554122272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114153443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106857 + ... + 107919.

Almost surely, 2^114153444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114153444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152981920).

114153444 is an abundant number, since it is smaller than the sum of its proper divisors (191810396).

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

114153444 is a wasteful number, since it uses less digits than its factorization.

114153444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1244 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 114153444 is about 10684.2615093417. The cubic root of 114153444 is about 485.0982108832.

The spelling of 114153444 in words is "one hundred fourteen million, one hundred fifty-three thousand, four hundred forty-four".