463152665317264 has 80 divisors (see below), whose sum is σ = 985017107963952. Its totient is φ = 209644825688064.

The previous prime is 463152665317207. The next prime is 463152665317297. The reversal of 463152665317264 is 462713566251364.

It can be written as a sum of positive squares in 8 ways, for example, as 10882688427664 + 452269976889600 = 3298892^2 + 21266640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18825802 + ... + 35787094.

Almost surely, 2^{463152665317264} 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 463152665317264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492508553981976).

463152665317264 is an abundant number, since it is smaller than the sum of its proper divisors (521864442646688).

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

463152665317264 is a wasteful number, since it uses less digits than its factorization.

463152665317264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16963844 (or 16963838 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 61.

The spelling of 463152665317264 in words is "four hundred sixty-three trillion, one hundred fifty-two billion, six hundred sixty-five million, three hundred seventeen thousand, two hundred sixty-four".