114110324111420 has 192 divisors, whose sum is σ = 310480200576000. Its totient is φ = 34210410393600.

The previous prime is 114110324111297. The next prime is 114110324111423. The reversal of 114110324111420 is 24111423011411.

It is a super-2 number, since 2×114110324111420² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 114110324111420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114110324111423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428693531 + ... + 428959629.

It is an arithmetic number, because the mean of its divisors is an integer number (1617084378000).

Almost surely, 2^{114110324111420} is an apocalyptic number.

114110324111420 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 114110324111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155240100288000).

114110324111420 is an abundant number, since it is smaller than the sum of its proper divisors (196369876464580).

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

114110324111420 is a wasteful number, since it uses less digits than its factorization.

114110324111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278548 (or 278546 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 114110324111420 its reverse (24111423011411), we get a palindrome (138221747122831).

The spelling of 114110324111420 in words is "one hundred fourteen trillion, one hundred ten billion, three hundred twenty-four million, one hundred eleven thousand, four hundred twenty".