114443144314520 has 256 divisors, whose sum is σ = 329993491138560. Its totient is φ = 34796694822912.

The previous prime is 114443144314517. The next prime is 114443144314529. The reversal of 114443144314520 is 25413441344411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114443144314529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465839 + ... + 15136158.

It is an arithmetic number, because the mean of its divisors is an integer number (1289037074760).

Almost surely, 2^{114443144314520} is an apocalyptic number.

114443144314520 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 114443144314520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164996745569280).

114443144314520 is an abundant number, since it is smaller than the sum of its proper divisors (215550346824040).

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

114443144314520 is a wasteful number, since it uses less digits than its factorization.

114443144314520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15602122 (or 15602118 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

Adding to 114443144314520 its reverse (25413441344411), we get a palindrome (139856585658931).

The spelling of 114443144314520 in words is "one hundred fourteen trillion, four hundred forty-three billion, one hundred forty-four million, three hundred fourteen thousand, five hundred twenty".