4414963165056 has 192 divisors, whose sum is σ = 13100591780640. Its totient is φ = 1426249728000.

The previous prime is 4414963165009. The next prime is 4414963165057. The reversal of 4414963165056 is 6505613694144.

4414963165056 is a `hidden beast` number, since 4 + 4 + 14 + 96 + 31 + 6 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4414963164993 and 4414963165011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414963165057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6822516 + ... + 7441548.

Almost surely, 2^{4414963165056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414963165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550295890320).

4414963165056 is an abundant number, since it is smaller than the sum of its proper divisors (8685628615584).

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

4414963165056 is a wasteful number, since it uses less digits than its factorization.

4414963165056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619245 (or 619230 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 4414963165056 in words is "four trillion, four hundred fourteen billion, nine hundred sixty-three million, one hundred sixty-five thousand, fifty-six".