114558444 has 324 divisors, whose sum is σ = 416149552. Its totient is φ = 25850880.

The previous prime is 114558421. The next prime is 114558449. The reversal of 114558444 is 444855411.

It is a super-2 number, since 2×114558444² = 26247274183402272, which contains 22 as substring.

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 = 114558399 and 114558408.

It is not an unprimeable number, because it can be changed into a prime (114558449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6738724 + ... + 6738740.

Almost surely, 2^114558444 is an apocalyptic number.

114558444 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 114558444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208074776).

114558444 is an abundant number, since it is smaller than the sum of its proper divisors (301591108).

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

114558444 is a wasteful number, since it uses less digits than its factorization.

114558444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 114558444 is about 10703.1978398981. The cubic root of 114558444 is about 485.6712199912.

The spelling of 114558444 in words is "one hundred fourteen million, five hundred fifty-eight thousand, four hundred forty-four".