114050636544 has 288 divisors, whose sum is σ = 342414019584. Its totient is φ = 33437859840.

The previous prime is 114050636527. The next prime is 114050636549. The reversal of 114050636544 is 445636050411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (114050636549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71414754 + ... + 71416350.

It is an arithmetic number, because the mean of its divisors is an integer number (1188937568).

Almost surely, 2^114050636544 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 114050636544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171207009792).

114050636544 is an abundant number, since it is smaller than the sum of its proper divisors (228363383040).

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

114050636544 is a wasteful number, since it uses less digits than its factorization.

114050636544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 114050636544 its reverse (445636050411), we get a palindrome (559686686955).

The spelling of 114050636544 in words is "one hundred fourteen billion, fifty million, six hundred thirty-six thousand, five hundred forty-four".