114313450414400 has 168 divisors, whose sum is σ = 286401664801824. Its totient is φ = 44895876249600.

The previous prime is 114313450414309. The next prime is 114313450414519. The reversal of 114313450414400 is 4414054313411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53908619 + ... + 55988981.

Almost surely, 2^{114313450414400} is an apocalyptic number.

114313450414400 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 114313450414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143200832400912).

114313450414400 is an abundant number, since it is smaller than the sum of its proper divisors (172088214387424).

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

114313450414400 is a wasteful number, since it uses less digits than its factorization.

114313450414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081009 (or 2080994 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 114313450414400 in words is "one hundred fourteen trillion, three hundred thirteen billion, four hundred fifty million, four hundred fourteen thousand, four hundred".