114334044231232 has 224 divisors, whose sum is σ = 279631104399360. Its totient is φ = 45283650048000.

The previous prime is 114334044231229. The next prime is 114334044231233. The reversal of 114334044231232 is 232132440433411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 114334044231191 and 114334044231200.

It is not an unprimeable number, because it can be changed into a prime (114334044231233) 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, 4128910507 + ... + 4128938197.

It is an arithmetic number, because the mean of its divisors is an integer number (1248353144640).

Almost surely, 2^{114334044231232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114334044231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139815552199680).

114334044231232 is an abundant number, since it is smaller than the sum of its proper divisors (165297060168128).

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

114334044231232 is a wasteful number, since it uses less digits than its factorization.

114334044231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39601 (or 39591 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 114334044231232 its reverse (232132440433411), we get a palindrome (346466484664643).

The spelling of 114334044231232 in words is "one hundred fourteen trillion, three hundred thirty-four billion, forty-four million, two hundred thirty-one thousand, two hundred thirty-two".