114225041422520 has 256 divisors, whose sum is σ = 296057476915200. Its totient is φ = 38852599726080.

The previous prime is 114225041422477. The next prime is 114225041422523. The reversal of 114225041422520 is 25224140522411.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114225041422523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67309982312 + ... + 67309984008.

It is an arithmetic number, because the mean of its divisors is an integer number (1156474519200).

Almost surely, 2^{114225041422520} is an apocalyptic number.

114225041422520 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 114225041422520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148028738457600).

114225041422520 is an abundant number, since it is smaller than the sum of its proper divisors (181832435492680).

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

114225041422520 is a wasteful number, since it uses less digits than its factorization.

114225041422520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 114225041422520 its reverse (25224140522411), we get a palindrome (139449181944931).

The spelling of 114225041422520 in words is "one hundred fourteen trillion, two hundred twenty-five billion, forty-one million, four hundred twenty-two thousand, five hundred twenty".