114735616 has 40 divisors (see below), whose sum is σ = 230359140. Its totient is φ = 57090048.

The previous prime is 114735613. The next prime is 114735667. The reversal of 114735616 is 616537411.

It can be written as a sum of positive squares in 2 ways, for example, as 114575616 + 160000 = 10704^2 + 400^2 .

It is not an unprimeable number, because it can be changed into a prime (114735613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141420 + ... + 142228.

Almost surely, 2^114735616 is an apocalyptic number.

114735616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115179570).

114735616 is an abundant number, since it is smaller than the sum of its proper divisors (115623524).

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

114735616 is an frugal number, since it uses more digits than its factorization.

114735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1088 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 114735616 is about 10711.4712341489. The cubic root of 114735616 is about 485.9214649527.

It can be divided in two parts, 1147 and 35616, that added together give a palindrome (36763).

The spelling of 114735616 in words is "one hundred fourteen million, seven hundred thirty-five thousand, six hundred sixteen".