63201609603136 has 63 divisors (see below), whose sum is σ = 129893290650669. Its totient is φ = 30510231483648.

The previous prime is 63201609603091. The next prime is 63201609603163. The reversal of 63201609603136 is 63130690610236.

The square root of 63201609603136 is 7949944.

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

63201609603136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 33141391004736 + 30060218598400 = 5756856^2 + 5482720^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1844369875 + ... + 1844404141.

Almost surely, 2^{63201609603136} is an apocalyptic number.

63201609603136 is the 7949944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63201609603136

63201609603136 is an abundant number, since it is smaller than the sum of its proper divisors (66691681047533).

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

63201609603136 is an frugal number, since it uses more digits than its factorization.

63201609603136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68604 (or 34298 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 46.

The spelling of 63201609603136 in words is "sixty-three trillion, two hundred one billion, six hundred nine million, six hundred three thousand, one hundred thirty-six".