463319816976 has 135 divisors (see below), whose sum is σ = 1309650232917. Its totient is φ = 152907056640.

The previous prime is 463319816969. The next prime is 463319816989. The reversal of 463319816976 is 679618913364.

The square root of 463319816976 is 680676.

It is a perfect power (a square), and thus also a powerful number.

463319816976 is a `hidden beast` number, since 463 + 3 + 1 + 9 + 8 + 169 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51956643600 + 411363173376 = 227940^2 + 641376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1070022456 + ... + 1070022888.

Almost surely, 2^463319816976 is an apocalyptic number.

463319816976 is the 680676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463319816976

463319816976 is an abundant number, since it is smaller than the sum of its proper divisors (846330415941).

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

463319816976 is an equidigital number, since it uses as much as digits as its factorization.

463319816976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 569 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 463319816976 in words is "four hundred sixty-three billion, three hundred nineteen million, eight hundred sixteen thousand, nine hundred seventy-six".