114524144001120 has 192 divisors, whose sum is σ = 412844825756160. Its totient is φ = 26141524512768.

The previous prime is 114524144001109. The next prime is 114524144001209. The reversal of 114524144001120 is 21100441425411.

It is a super-2 number, since 2×114524144001120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20578237 + ... + 25544316.

It is an arithmetic number, because the mean of its divisors is an integer number (2150233467480).

Almost surely, 2^{114524144001120} is an apocalyptic number.

114524144001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114524144001120 is an abundant number, since it is smaller than the sum of its proper divisors (298320681755040).

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

114524144001120 is a wasteful number, since it uses less digits than its factorization.

114524144001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46123317 (or 46123309 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 114524144001120 its reverse (21100441425411), we get a palindrome (135624585426531).

The spelling of 114524144001120 in words is "one hundred fourteen trillion, five hundred twenty-four billion, one hundred forty-four million, one thousand, one hundred twenty".