63859311616 has 99 divisors (see below), whose sum is σ = 130989398911. Its totient is φ = 31116959744.

The previous prime is 63859311611. The next prime is 63859311623. The reversal of 63859311616 is 61611395836.

The square root of 63859311616 is 252704.

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 2704000000 + 61155311616 = 52000^2 + 247296^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 63859311616.

It is not an unprimeable number, because it can be changed into a prime (63859311611) 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, 428585910 + ... + 428586058.

Almost surely, 2^63859311616 is an apocalyptic number.

63859311616 is the 252704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63859311616

63859311616 is an abundant number, since it is smaller than the sum of its proper divisors (67130087295).

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

63859311616 is an frugal number, since it uses more digits than its factorization.

63859311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 204 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

Multiplying 63859311616 by its sum of digits (49), we get a square (3129106269184 = 1768928²).

The spelling of 63859311616 in words is "sixty-three billion, eight hundred fifty-nine million, three hundred eleven thousand, six hundred sixteen".