114352234000 has 160 divisors (see below), whose sum is σ = 293122997856. Its totient is φ = 42998169600.

The previous prime is 114352233967. The next prime is 114352234043. The reversal of 114352234000 is 432253411.

It can be written as a sum of positive squares in 16 ways, for example, as 11416495104 + 102935738896 = 106848^2 + 320836^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39200542 + ... + 39203458.

Almost surely, 2^114352234000 is an apocalyptic number.

114352234000 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 114352234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146561498928).

114352234000 is an abundant number, since it is smaller than the sum of its proper divisors (178770763856).

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

114352234000 is a wasteful number, since it uses less digits than its factorization.

114352234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 114352234000 its reverse (432253411), we get a palindrome (114784487411).

The spelling of 114352234000 in words is "one hundred fourteen billion, three hundred fifty-two million, two hundred thirty-four thousand".