63975853164168 has 144 divisors (see below), whose sum is σ = 190682965287360. Its totient is φ = 19363063959360.

The previous prime is 63975853164163. The next prime is 63975853164169. The reversal of 63975853164168 is 86146135857936.

63975853164168 is a `hidden beast` number, since 6 + 3 + 9 + 7 + 585 + 31 + 6 + 4 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 63975853164096 and 63975853164105.

It is not an unprimeable number, because it can be changed into a prime (63975853164163) 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 35 ways as a sum of consecutive naturals, for example, 2708605 + ... + 11631347.

It is an arithmetic number, because the mean of its divisors is an integer number (1324187258940).

Almost surely, 2^{63975853164168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63975853164168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95341482643680).

63975853164168 is an abundant number, since it is smaller than the sum of its proper divisors (126707112123192).

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

63975853164168 is a wasteful number, since it uses less digits than its factorization.

63975853164168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8923600 (or 8923582 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 63975853164168 in words is "sixty-three trillion, nine hundred seventy-five billion, eight hundred fifty-three million, one hundred sixty-four thousand, one hundred sixty-eight".