63545223168 has 1152 divisors, whose sum is σ = 244693612800. Its totient is φ = 16052649984.

The previous prime is 63545223167. The next prime is 63545223169. The reversal of 63545223168 is 86132254536.

63545223168 is a `hidden beast` number, since 6 + 35 + 4 + 522 + 31 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (63545223167) and next prime (63545223169).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (63545223167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1717438446 + ... + 1717438482.

It is an arithmetic number, because the mean of its divisors is an integer number (212407650).

Almost surely, 2^63545223168 is an apocalyptic number.

63545223168 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63545223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122346806400).

63545223168 is an abundant number, since it is smaller than the sum of its proper divisors (181148389632).

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

63545223168 is a wasteful number, since it uses less digits than its factorization.

63545223168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 63545223168 in words is "sixty-three billion, five hundred forty-five million, two hundred twenty-three thousand, one hundred sixty-eight".