114052042216 has 128 divisors (see below), whose sum is σ = 265890816000. Its totient is φ = 44757100800.

The previous prime is 114052042211. The next prime is 114052042267. The reversal of 114052042216 is 612240250411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (114052042211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34994395 + ... + 34997653.

It is an arithmetic number, because the mean of its divisors is an integer number (2077272000).

Almost surely, 2^114052042216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114052042216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132945408000).

114052042216 is an abundant number, since it is smaller than the sum of its proper divisors (151838773784).

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

114052042216 is a wasteful number, since it uses less digits than its factorization.

114052042216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 114052042216 its reverse (612240250411), we get a palindrome (726292292627).

The spelling of 114052042216 in words is "one hundred fourteen billion, fifty-two million, forty-two thousand, two hundred sixteen".