114835644 has 120 divisors (see below), whose sum is σ = 374360448. Its totient is φ = 29820960.

The previous prime is 114835607. The next prime is 114835667. The reversal of 114835644 is 446538411.

114835644 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 3 + 5 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114835599 and 114835608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22647 + ... + 27249.

Almost surely, 2^114835644 is an apocalyptic number.

114835644 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 114835644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187180224).

114835644 is an abundant number, since it is smaller than the sum of its proper divisors (259524804).

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

114835644 is a wasteful number, since it uses less digits than its factorization.

114835644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4626 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 114835644 is about 10716.1394167863. The cubic root of 114835644 is about 486.0626348172.

The spelling of 114835644 in words is "one hundred fourteen million, eight hundred thirty-five thousand, six hundred forty-four".