463856461056 has 180 divisors, whose sum is σ = 1383811416064. Its totient is φ = 154543334400.

The previous prime is 463856461051. The next prime is 463856461073. The reversal of 463856461056 is 650164658364.

463856461056 is a `hidden beast` number, since 4 + 63 + 8 + 564 + 6 + 10 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 463856460993 and 463856461011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463856461051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56625921 + ... + 56634111.

Almost surely, 2^463856461056 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 463856461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691905708032).

463856461056 is an abundant number, since it is smaller than the sum of its proper divisors (919954955008).

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

463856461056 is an equidigital number, since it uses as much as digits as its factorization.

463856461056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10950 (or 10927 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 463856461056 in words is "four hundred sixty-three billion, eight hundred fifty-six million, four hundred sixty-one thousand, fifty-six".