1000114144 has 48 divisors (see below), whose sum is σ = 2046755088. Its totient is φ = 480632832.

The previous prime is 1000114139. The next prime is 1000114147. The reversal of 1000114144 is 4414110001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000114147) 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, 93184 + ... + 103360.

It is an arithmetic number, because the mean of its divisors is an integer number (42640731).

Almost surely, 2^1000114144 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 1000114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023377544).

1000114144 is an abundant number, since it is smaller than the sum of its proper divisors (1046640944).

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

1000114144 is a wasteful number, since it uses less digits than its factorization.

1000114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307 (or 10299 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1000114144 is about 31624.5813252919. The cubic root of 1000114144 is about 1000.0380465524.

Adding to 1000114144 its reverse (4414110001), we get a palindrome (5414224145).

The spelling of 1000114144 in words is "one billion, one hundred fourteen thousand, one hundred forty-four".