63393671961 has 81 divisors (see below), whose sum is σ = 99229429117. Its totient is φ = 38995841280.

The previous prime is 63393671947. The next prime is 63393671983. The reversal of 63393671961 is 16917639336.

The square root of 63393671961 is 251781.

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

63393671961 is a `hidden beast` number, since 6 + 3 + 393 + 67 + 196 + 1 = 666.

63393671961 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 4 ways, for example, as 38644089561 + 24749582400 = 196581^2 + 157320^2 .

It is a de Polignac number, because none of the positive numbers 2^k-63393671961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 63393671898 and 63393671907.

It is not an unprimeable number, because it can be changed into a prime (63393671921) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 712288405 + ... + 712288493.

Almost surely, 2^63393671961 is an apocalyptic number.

63393671961 is the 251781-st square number.

63393671961 is the 125891-st centered octagonal number.

It is an amenable number.

63393671961 is a deficient number, since it is larger than the sum of its proper divisors (35835757156).

63393671961 is an equidigital number, since it uses as much as digits as its factorization.

63393671961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 54.

The spelling of 63393671961 in words is "sixty-three billion, three hundred ninety-three million, six hundred seventy-one thousand, nine hundred sixty-one".