114205040000544 has 96 divisors (see below), whose sum is σ = 315639007346880. Its totient is φ = 36056469537792.

The previous prime is 114205040000533. The next prime is 114205040000627. The reversal of 114205040000544 is 445000040502411.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761902 + ... + 15132434.

It is an arithmetic number, because the mean of its divisors is an integer number (3287906326530).

Almost surely, 2^{114205040000544} 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 114205040000544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157819503673440).

114205040000544 is an abundant number, since it is smaller than the sum of its proper divisors (201433967346336).

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

114205040000544 is a wasteful number, since it uses less digits than its factorization.

114205040000544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14374922 (or 14374914 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 114205040000544 its reverse (445000040502411), we get a palindrome (559205080502955).

The spelling of 114205040000544 in words is "one hundred fourteen trillion, two hundred five billion, forty million, five hundred forty-four", and thus it is an aban number.