114000034000 has 80 divisors (see below), whose sum is σ = 283102322256. Its totient is φ = 44367552000.

The previous prime is 114000033887. The next prime is 114000034007. The reversal of 114000034000 is 430000411.

It can be written as a sum of positive squares in 8 ways, for example, as 27824908864 + 86175125136 = 166808^2 + 293556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114000034007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 696271 + ... + 844270.

Almost surely, 2^114000034000 is an apocalyptic number.

114000034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114000034000 is an abundant number, since it is smaller than the sum of its proper divisors (169102288256).

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

114000034000 is a wasteful number, since it uses less digits than its factorization.

114000034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540601 (or 1540585 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 114000034000 its reverse (430000411), we get a palindrome (114430034411).

The spelling of 114000034000 in words is "one hundred fourteen billion, thirty-four thousand".