114241211132328 has 64 divisors (see below), whose sum is σ = 362670511536000. Its totient is φ = 32640346037376.

The previous prime is 114241211132287. The next prime is 114241211132329. The reversal of 114241211132328 is 823231112142411.

114241211132328 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 412 + 1 + 1 + 1 + 3 + 232 + 8 = 666.

It is a super-2 number, since 2×114241211132328² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114241211132292 and 114241211132301.

It is not an unprimeable number, because it can be changed into a prime (114241211132329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37778176773 + ... + 37778179796.

It is an arithmetic number, because the mean of its divisors is an integer number (5666726742750).

Almost surely, 2^{114241211132328} is an apocalyptic number.

114241211132328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114241211132328 is an abundant number, since it is smaller than the sum of its proper divisors (248429300403672).

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

114241211132328 is a wasteful number, since it uses less digits than its factorization.

114241211132328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75556356591 (or 75556356581 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

Adding to 114241211132328 its reverse (823231112142411), we get a palindrome (937472323274739).

The spelling of 114241211132328 in words is "one hundred fourteen trillion, two hundred forty-one billion, two hundred eleven million, one hundred thirty-two thousand, three hundred twenty-eight".