3863615571468 has 432 divisors, whose sum is σ = 11583136131840. Its totient is φ = 1080308275200.

The previous prime is 3863615571463. The next prime is 3863615571481. The reversal of 3863615571468 is 8641755163683.

3863615571468 is a `hidden beast` number, since 3 + 8 + 6 + 3 + 6 + 1 + 557 + 14 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (3863615571463) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277332463 + ... + 277346393.

It is an arithmetic number, because the mean of its divisors is an integer number (26812815120).

Almost surely, 2^{3863615571468} is an apocalyptic number.

3863615571468 is a gapful number since it is divisible by the number (38) 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 3863615571468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791568065920).

3863615571468 is an abundant number, since it is smaller than the sum of its proper divisors (7719520560372).

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

3863615571468 is a wasteful number, since it uses less digits than its factorization.

3863615571468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14078 (or 14056 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 3863615571468 in words is "three trillion, eight hundred sixty-three billion, six hundred fifteen million, five hundred seventy-one thousand, four hundred sixty-eight".