114114000 has 640 divisors, whose sum is σ = 519966720. Its totient is φ = 20736000.

The previous prime is 114113933. The next prime is 114114041. The reversal of 114114000 is 411411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6005991 + ... + 6006009.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^114114000 is an apocalyptic number.

114114000 is a gapful number since it is divisible by the number (10) 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 114114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

114114000 is an abundant number, since it is smaller than the sum of its proper divisors (405852720).

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

114114000 is a wasteful number, since it uses less digits than its factorization.

114114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 114114000 is about 10682.4154571894. The cubic root of 114114000 is about 485.0423316578.

Adding to 114114000 its reverse (411411), we get a palindrome (114525411).

The spelling of 114114000 in words is "one hundred fourteen million, one hundred fourteen thousand".