463183691776 has 135 divisors (see below), whose sum is σ = 1005535772451. Its totient is φ = 213254406144.

The previous prime is 463183691771. The next prime is 463183691797. The reversal of 463183691776 is 677196381364.

The square root of 463183691776 is 680576.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4345446400 + 458838245376 = 65920^2 + 677376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463183691771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1132478260 + ... + 1132478668.

Almost surely, 2^463183691776 is an apocalyptic number.

463183691776 is the 680576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463183691776

463183691776 is an abundant number, since it is smaller than the sum of its proper divisors (542352080675).

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

463183691776 is an frugal number, since it uses more digits than its factorization.

463183691776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 424 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 61.

The spelling of 463183691776 in words is "four hundred sixty-three billion, one hundred eighty-three million, six hundred ninety-one thousand, seven hundred seventy-six".