114330124944 has 150 divisors (see below), whose sum is σ = 384929998134. Its totient is φ = 32665731840.

The previous prime is 114330124933. The next prime is 114330124963. The reversal of 114330124944 is 449421033411.

114330124944 is a `hidden beast` number, since 11 + 433 + 0 + 124 + 94 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114027782400 + 302342544 = 337680^2 + 17388^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 114330124899 and 114330124908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 836677 + ... + 963684.

Almost surely, 2^114330124944 is an apocalyptic number.

114330124944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114330124944 is an abundant number, since it is smaller than the sum of its proper divisors (270599873190).

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

114330124944 is a wasteful number, since it uses less digits than its factorization.

114330124944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800395 (or 1800373 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 114330124944 in words is "one hundred fourteen billion, three hundred thirty million, one hundred twenty-four thousand, nine hundred forty-four".