114523145352144 has 120 divisors (see below), whose sum is σ = 326617940113920. Its totient is φ = 37446665008896.

The previous prime is 114523145352101. The next prime is 114523145352151. The reversal of 114523145352144 is 441253541325411.

114523145352144 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 3 + 1 + 453 + 52 + 144 = 666.

114523145352144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 114523145352144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36968697 + ... + 39946599.

It is an arithmetic number, because the mean of its divisors is an integer number (2721816167616).

Almost surely, 2^{114523145352144} 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 114523145352144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163308970056960).

114523145352144 is an abundant number, since it is smaller than the sum of its proper divisors (212094794761776).

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

114523145352144 is a wasteful number, since it uses less digits than its factorization.

114523145352144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983009 (or 2983000 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

Adding to 114523145352144 its reverse (441253541325411), we get a palindrome (555776686677555).

The spelling of 114523145352144 in words is "one hundred fourteen trillion, five hundred twenty-three billion, one hundred forty-five million, three hundred fifty-two thousand, one hundred forty-four".