863438846256 has 360 divisors, whose sum is σ = 3054585900240. Its totient is φ = 232035342336.

The previous prime is 863438846213. The next prime is 863438846287. The reversal of 863438846256 is 652648834368.

It is a happy number.

863438846256 is a `hidden beast` number, since 8 + 6 + 3 + 43 + 88 + 462 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 863438846193 and 863438846202.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 557416170 + ... + 557417718.

It is an arithmetic number, because the mean of its divisors is an integer number (8484960834).

Almost surely, 2^863438846256 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 863438846256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527292950120).

863438846256 is an abundant number, since it is smaller than the sum of its proper divisors (2191147053984).

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

863438846256 is a wasteful number, since it uses less digits than its factorization.

863438846256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 1578 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 863438846256 in words is "eight hundred sixty-three billion, four hundred thirty-eight million, eight hundred forty-six thousand, two hundred fifty-six".