114420450144 has 384 divisors, whose sum is σ = 407299415040. Its totient is φ = 27159552000.

The previous prime is 114420450119. The next prime is 114420450169. The reversal of 114420450144 is 441054024411.

114420450144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114420450119) and next prime (114420450169).

It is a super-2 number, since 2×114420450144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 9699802 + ... + 9711590.

It is an arithmetic number, because the mean of its divisors is an integer number (1060675560).

Almost surely, 2^114420450144 is an apocalyptic number.

114420450144 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 114420450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203649707520).

114420450144 is an abundant number, since it is smaller than the sum of its proper divisors (292878964896).

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

114420450144 is a wasteful number, since it uses less digits than its factorization.

114420450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11934 (or 11926 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 114420450144 its reverse (441054024411), we get a palindrome (555474474555).

The spelling of 114420450144 in words is "one hundred fourteen billion, four hundred twenty million, four hundred fifty thousand, one hundred forty-four".