63657308416 has 81 divisors (see below), whose sum is σ = 137705654079. Its totient is φ = 29356075008.

The previous prime is 63657308411. The next prime is 63657308431. The reversal of 63657308416 is 61480375636.

The square root of 63657308416 is 252304.

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 43470582016 + 20186726400 = 208496^2 + 142080^2 .

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 63657308416.

It is not an unprimeable number, because it can be changed into a prime (63657308411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52478626 + ... + 52479838.

Almost surely, 2^63657308416 is an apocalyptic number.

63657308416 is the 252304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63657308416

63657308416 is an abundant number, since it is smaller than the sum of its proper divisors (74048345663).

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

63657308416 is an frugal number, since it uses more digits than its factorization.

63657308416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 63657308416 by its sum of digits (49), we get a square (3119208112384 = 1766128²).

The spelling of 63657308416 in words is "sixty-three billion, six hundred fifty-seven million, three hundred eight thousand, four hundred sixteen".