4431462645114 has 192 divisors, whose sum is σ = 10827980467200. Its totient is φ = 1302370308096.

The previous prime is 4431462645109. The next prime is 4431462645133. The reversal of 4431462645114 is 4115462641344.

It is a happy number.

4431462645114 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 4 + 626 + 4 + 5 + 1 + 14 = 666.

It is a super-2 number, since 2×4431462645114² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4431462645114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212234527 + ... + 212255405.

It is an arithmetic number, because the mean of its divisors is an integer number (56395731600).

Almost surely, 2^{4431462645114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431462645114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413990233600).

4431462645114 is an abundant number, since it is smaller than the sum of its proper divisors (6396517822086).

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

4431462645114 is a wasteful number, since it uses less digits than its factorization.

4431462645114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21549 (or 21546 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 4431462645114 in words is "four trillion, four hundred thirty-one billion, four hundred sixty-two million, six hundred forty-five thousand, one hundred fourteen".