863807809588416 has 3136 divisors, whose sum is σ = 3425047755448320. Its totient is φ = 209532230369280.

The previous prime is 863807809588369. The next prime is 863807809588501. The reversal of 863807809588416 is 614885908708368.

863807809588416 is a `hidden beast` number, since 8 + 6 + 3 + 80 + 78 + 0 + 9 + 58 + 8 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 403083437841 + ... + 403083439983.

Almost surely, 2^{863807809588416} 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 863807809588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712523877724160).

863807809588416 is an abundant number, since it is smaller than the sum of its proper divisors (2561239945859904).

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

863807809588416 is a wasteful number, since it uses less digits than its factorization.

863807809588416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 81.

The spelling of 863807809588416 in words is "eight hundred sixty-three trillion, eight hundred seven billion, eight hundred nine million, five hundred eighty-eight thousand, four hundred sixteen".