114331644 has 72 divisors (see below), whose sum is σ = 334530560. Its totient is φ = 32247072.

The previous prime is 114331621. The next prime is 114331649. The reversal of 114331644 is 446133411.

114331644 is a `hidden beast` number, since 1 + 14 + 3 + 3 + 1 + 644 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114331649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17037 + ... + 22779.

Almost surely, 2^114331644 is an apocalyptic number.

114331644 is a gapful number since it is divisible by the number (14) 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 114331644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167265280).

114331644 is an abundant number, since it is smaller than the sum of its proper divisors (220198916).

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

114331644 is a wasteful number, since it uses less digits than its factorization.

114331644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5834 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 114331644 is about 10692.5976263956. The cubic root of 114331644 is about 485.3505015881.

The spelling of 114331644 in words is "one hundred fourteen million, three hundred thirty-one thousand, six hundred forty-four".