114102414 has 48 divisors (see below), whose sum is σ = 257091120. Its totient is φ = 36529920.

The previous prime is 114102397. The next prime is 114102433. The reversal of 114102414 is 414201411.

114102414 is a `hidden beast` number, since 11 + 410 + 241 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125349 + ... + 126255.

It is an arithmetic number, because the mean of its divisors is an integer number (5356065).

Almost surely, 2^114102414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114102414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128545560).

114102414 is an abundant number, since it is smaller than the sum of its proper divisors (142988706).

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

114102414 is a wasteful number, since it uses less digits than its factorization.

114102414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114102414 is about 10681.8731503421. The cubic root of 114102414 is about 485.0259156450.

Adding to 114102414 its reverse (414201411), we get a palindrome (528303825).

It can be divided in two parts, 11410 and 2414, that added together give a cube (13824 = 24³).

The spelling of 114102414 in words is "one hundred fourteen million, one hundred two thousand, four hundred fourteen".