114511244455332 has 144 divisors (see below), whose sum is σ = 317090391312240. Its totient is φ = 34682368917504.

The previous prime is 114511244455331. The next prime is 114511244455403. The reversal of 114511244455332 is 233554442115411.

114511244455332 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 1 + 24 + 44 + 553 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3383046561636 + 111128197893696 = 1839306^2 + 10541736^2 .

It is a super-2 number, since 2×114511244455332² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114511244455331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158181748 + ... + 158904020.

It is an arithmetic number, because the mean of its divisors is an integer number (2202016606335).

Almost surely, 2^{114511244455332} is an apocalyptic number.

114511244455332 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 114511244455332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158545195656120).

114511244455332 is an abundant number, since it is smaller than the sum of its proper divisors (202579146856908).

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

114511244455332 is a wasteful number, since it uses less digits than its factorization.

114511244455332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731262 (or 731257 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 114511244455332 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred forty-four million, four hundred fifty-five thousand, three hundred thirty-two".