114511242524224 has 112 divisors (see below), whose sum is σ = 282146660788608. Its totient is φ = 44900255490048.

The previous prime is 114511242524213. The next prime is 114511242524249. The reversal of 114511242524224 is 422425242115411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×114511242524224² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86341702 + ... + 87657925.

It is an arithmetic number, because the mean of its divisors is an integer number (2519166614184).

Almost surely, 2^{114511242524224} is an apocalyptic number.

114511242524224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114511242524224 is an abundant number, since it is smaller than the sum of its proper divisors (167635418264384).

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

114511242524224 is a wasteful number, since it uses less digits than its factorization.

114511242524224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173999772 (or 173999762 counting only the distinct ones).

The product of its digits is 204800, while the sum is 40.

Adding to 114511242524224 its reverse (422425242115411), we get a palindrome (536936484639635).

The spelling of 114511242524224 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred forty-two million, five hundred twenty-four thousand, two hundred twenty-four".