114616944 has 100 divisors (see below), whose sum is σ = 357305256. Its totient is φ = 35261568.

The previous prime is 114616939. The next prime is 114616979. The reversal of 114616944 is 449616411.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 114616899 and 114616908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13447 + ... + 20249.

Almost surely, 2^114616944 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 114616944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178652628).

114616944 is an abundant number, since it is smaller than the sum of its proper divisors (242688312).

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

114616944 is a wasteful number, since it uses less digits than its factorization.

114616944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6836 (or 6821 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 114616944 is about 10705.9303192203. The cubic root of 114616944 is about 485.7538762918.

The spelling of 114616944 in words is "one hundred fourteen million, six hundred sixteen thousand, nine hundred forty-four".