114070439808 has 256 divisors, whose sum is σ = 363372307200. Its totient is φ = 35020339200.

The previous prime is 114070439801. The next prime is 114070439921. The reversal of 114070439808 is 808934070411.

It is a happy number.

114070439808 is a `hidden beast` number, since 1 + 140 + 70 + 439 + 8 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114070439801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22057063 + ... + 22062233.

It is an arithmetic number, because the mean of its divisors is an integer number (1419423075).

Almost surely, 2^114070439808 is an apocalyptic number.

114070439808 is a gapful number since it is divisible by the number (18) 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 114070439808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181686153600).

114070439808 is an abundant number, since it is smaller than the sum of its proper divisors (249301867392).

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

114070439808 is a wasteful number, since it uses less digits than its factorization.

114070439808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

It can be divided in two parts, 114070 and 439808, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 114070439808 in words is "one hundred fourteen billion, seventy million, four hundred thirty-nine thousand, eight hundred eight".