63220182036544 has 105 divisors (see below), whose sum is σ = 135929675112801. Its totient is φ = 29173584061440.

The previous prime is 63220182036493. The next prime is 63220182036553. The reversal of 63220182036544 is 44563028102236.

The square root of 63220182036544 is 7951112.

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

63220182036544 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 7 ways, for example, as 54986496122944 + 8233685913600 = 7415288^2 + 2869440^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 63220182036494 and 63220182036503.

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 14 ways as a sum of consecutive naturals, for example, 10749900484 + ... + 10749906364.

Almost surely, 2^{63220182036544} is an apocalyptic number.

63220182036544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

63220182036544 is the 7951112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63220182036544

63220182036544 is an abundant number, since it is smaller than the sum of its proper divisors (72709493076257).

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

63220182036544 is an frugal number, since it uses more digits than its factorization.

63220182036544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11826 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 63220182036544 in words is "sixty-three trillion, two hundred twenty billion, one hundred eighty-two million, thirty-six thousand, five hundred forty-four".