114216365424 has 160 divisors (see below), whose sum is σ = 342698065920. Its totient is φ = 32103472896.

The previous prime is 114216365399. The next prime is 114216365429. The reversal of 114216365424 is 424563612411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114216365429) 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, 19424917 + ... + 19430795.

It is an arithmetic number, because the mean of its divisors is an integer number (2141862912).

Almost surely, 2^114216365424 is an apocalyptic number.

114216365424 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 114216365424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171349032960).

114216365424 is an abundant number, since it is smaller than the sum of its proper divisors (228481700496).

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

114216365424 is a wasteful number, since it uses less digits than its factorization.

114216365424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827 (or 6821 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

Adding to 114216365424 its reverse (424563612411), we get a palindrome (538779977835).

The spelling of 114216365424 in words is "one hundred fourteen billion, two hundred sixteen million, three hundred sixty-five thousand, four hundred twenty-four".