114314121600 has 384 divisors, whose sum is σ = 449026260480. Its totient is φ = 24992563200.

The previous prime is 114314121599. The next prime is 114314121659. The reversal of 114314121600 is 6121413411.

It is a happy number.

114314121600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1508620 + ... + 1582580.

It is an arithmetic number, because the mean of its divisors is an integer number (1169339220).

Almost surely, 2^114314121600 is an apocalyptic number.

114314121600 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 114314121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224513130240).

114314121600 is an abundant number, since it is smaller than the sum of its proper divisors (334712138880).

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

114314121600 is a wasteful number, since it uses less digits than its factorization.

114314121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74018 (or 74001 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 114314121600 in words is "one hundred fourteen billion, three hundred fourteen million, one hundred twenty-one thousand, six hundred".