114524144233152 has 224 divisors, whose sum is σ = 323217954113472. Its totient is φ = 35663079407616.

The previous prime is 114524144233151. The next prime is 114524144233189. The reversal of 114524144233152 is 251332441425411.

It is a super-2 number, since 2×114524144233152² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114524144233151) 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 31 ways as a sum of consecutive naturals, for example, 345978508 + ... + 346309364.

Almost surely, 2^{114524144233152} is an apocalyptic number.

114524144233152 is a gapful number since it is divisible by the number (12) 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 114524144233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161608977056736).

114524144233152 is an abundant number, since it is smaller than the sum of its proper divisors (208693809880320).

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

114524144233152 is a wasteful number, since it uses less digits than its factorization.

114524144233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331675 (or 331665 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

Adding to 114524144233152 its reverse (251332441425411), we get a palindrome (365856585658563).

The spelling of 114524144233152 in words is "one hundred fourteen trillion, five hundred twenty-four billion, one hundred forty-four million, two hundred thirty-three thousand, one hundred fifty-two".