114565122440 has 128 divisors (see below), whose sum is σ = 272699965440. Its totient is φ = 43229150976.

The previous prime is 114565122409. The next prime is 114565122449. The reversal of 114565122440 is 44221565411.

114565122440 is digitally balanced in base 3, 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 114565122440.

It is not an unprimeable number, because it can be changed into a prime (114565122449) 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, 62843369 + ... + 62845191.

It is an arithmetic number, because the mean of its divisors is an integer number (2130468480).

Almost surely, 2^114565122440 is an apocalyptic number.

114565122440 is a gapful number since it is divisible by the number (10) 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 114565122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136349982720).

114565122440 is an abundant number, since it is smaller than the sum of its proper divisors (158134843000).

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

114565122440 is a wasteful number, since it uses less digits than its factorization.

114565122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 114565122440 its reverse (44221565411), we get a palindrome (158786687851).

The spelling of 114565122440 in words is "one hundred fourteen billion, five hundred sixty-five million, one hundred twenty-two thousand, four hundred forty".