114134343680 has 672 divisors, whose sum is σ = 348281609760. Its totient is φ = 35672555520.

The previous prime is 114134343679. The next prime is 114134343683. The reversal of 114134343680 is 86343431411.

114134343680 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 (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114134343683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563484124 + ... + 1563484196.

It is an arithmetic number, because the mean of its divisors is an integer number (518276205).

Almost surely, 2^114134343680 is an apocalyptic number.

114134343680 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 114134343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174140804880).

114134343680 is an abundant number, since it is smaller than the sum of its proper divisors (234147266080).

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

114134343680 is an equidigital number, since it uses as much as digits as its factorization.

114134343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 114134343680 in words is "one hundred fourteen billion, one hundred thirty-four million, three hundred forty-three thousand, six hundred eighty".