114414121320 has 32 divisors (see below), whose sum is σ = 343242364320. Its totient is φ = 30510432320.

The previous prime is 114414121319. The next prime is 114414121421. The reversal of 114414121320 is 23121414411.

It is a happy number.

114414121320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 7 ways as a sum of consecutive naturals, for example, 476725386 + ... + 476725625.

It is an arithmetic number, because the mean of its divisors is an integer number (10726323885).

Almost surely, 2^114414121320 is an apocalyptic number.

114414121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114414121320 is an abundant number, since it is smaller than the sum of its proper divisors (228828243000).

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

114414121320 is a wasteful number, since it uses less digits than its factorization.

114414121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953451025 (or 953451021 counting only the distinct ones).

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

Adding to 114414121320 its reverse (23121414411), we get a palindrome (137535535731).

The spelling of 114414121320 in words is "one hundred fourteen billion, four hundred fourteen million, one hundred twenty-one thousand, three hundred twenty".