114344058060288 has 960 divisors, whose sum is σ = 397441786294080. Its totient is φ = 32362489184256.

The previous prime is 114344058060283. The next prime is 114344058060289. The reversal of 114344058060288 is 882060850443411.

114344058060288 is a `hidden beast` number, since 1 + 1 + 4 + 34 + 4 + 0 + 580 + 6 + 0 + 28 + 8 = 666.

It is a super-2 number, since 2×114344058060288² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114344058060283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57257914906 + ... + 57257916902.

It is an arithmetic number, because the mean of its divisors is an integer number (414001860723).

Almost surely, 2^{114344058060288} is an apocalyptic number.

114344058060288 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 114344058060288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198720893147040).

114344058060288 is an abundant number, since it is smaller than the sum of its proper divisors (283097728233792).

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

114344058060288 is a wasteful number, since it uses less digits than its factorization.

114344058060288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 114344058060288 in words is "one hundred fourteen trillion, three hundred forty-four billion, fifty-eight million, sixty thousand, two hundred eighty-eight".