114210411432 has 256 divisors, whose sum is σ = 331313794560. Its totient is φ = 32495468544.

The previous prime is 114210411383. The next prime is 114210411433. The reversal of 114210411432 is 234114012411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114210411433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153714853 + ... + 153715595.

It is an arithmetic number, because the mean of its divisors is an integer number (1294194510).

Almost surely, 2^114210411432 is an apocalyptic number.

114210411432 is a gapful number since it is divisible by the number (12) 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 114210411432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165656897280).

114210411432 is an abundant number, since it is smaller than the sum of its proper divisors (217103383128).

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

114210411432 is a wasteful number, since it uses less digits than its factorization.

114210411432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114210411432 its reverse (234114012411), we get a palindrome (348324423843).

The spelling of 114210411432 in words is "one hundred fourteen billion, two hundred ten million, four hundred eleven thousand, four hundred thirty-two".