114662042144 has 96 divisors (see below), whose sum is σ = 252151459056. Its totient is φ = 50980147200.

The previous prime is 114662042129. The next prime is 114662042179. The reversal of 114662042144 is 441240266411.

It can be written as a sum of positive squares in 8 ways, for example, as 74317302544 + 40344739600 = 272612^2 + 200860^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1517714 + ... + 1591470.

Almost surely, 2^114662042144 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 114662042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126075729528).

114662042144 is an abundant number, since it is smaller than the sum of its proper divisors (137489416912).

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

114662042144 is a wasteful number, since it uses less digits than its factorization.

114662042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73918 (or 73910 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 114662042144 in words is "one hundred fourteen billion, six hundred sixty-two million, forty-two thousand, one hundred forty-four".