4381514616816 has 240 divisors, whose sum is σ = 13311464177440. Its totient is φ = 1340647096320.

The previous prime is 4381514616763. The next prime is 4381514616877. The reversal of 4381514616816 is 6186164151834.

4381514616816 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 5 + 1 + 4 + 616 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24307116 + ... + 24486708.

Almost surely, 2^{4381514616816} 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 4381514616816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655732088720).

4381514616816 is an abundant number, since it is smaller than the sum of its proper divisors (8929949560624).

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

4381514616816 is a wasteful number, since it uses less digits than its factorization.

4381514616816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179904 (or 179895 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 4381514616816 in words is "four trillion, three hundred eighty-one billion, five hundred fourteen million, six hundred sixteen thousand, eight hundred sixteen".