463216556250 has 384 divisors, whose sum is σ = 1547900928000. Its totient is φ = 100300680000.

The previous prime is 463216556183. The next prime is 463216556281. The reversal of 463216556250 is 52655612364.

463216556250 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 16 + 5 + 5 + 625 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 463216556196 and 463216556205.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22433431 + ... + 22454069.

It is an arithmetic number, because the mean of its divisors is an integer number (4030992000).

Almost surely, 2^463216556250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463216556250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773950464000).

463216556250 is an abundant number, since it is smaller than the sum of its proper divisors (1084684371750).

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

463216556250 is a wasteful number, since it uses less digits than its factorization.

463216556250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20701 (or 20675 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 463216556250 in words is "four hundred sixty-three billion, two hundred sixteen million, five hundred fifty-six thousand, two hundred fifty".