63663364818144 has 768 divisors, whose sum is σ = 242348943513600. Its totient is φ = 15778472951808.

The previous prime is 63663364818103. The next prime is 63663364818169. The reversal of 63663364818144 is 44181846336636.

63663364818144 is a `hidden beast` number, since 6 + 3 + 6 + 6 + 3 + 3 + 6 + 481 + 8 + 144 = 666.

63663364818144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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 127 ways as a sum of consecutive naturals, for example, 880788534 + ... + 880860810.

It is an arithmetic number, because the mean of its divisors is an integer number (315558520200).

Almost surely, 2^{63663364818144} 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 63663364818144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121174471756800).

63663364818144 is an abundant number, since it is smaller than the sum of its proper divisors (178685578695456).

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

63663364818144 is a wasteful number, since it uses less digits than its factorization.

63663364818144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72992 (or 72978 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 63.

The spelling of 63663364818144 in words is "sixty-three trillion, six hundred sixty-three billion, three hundred sixty-four million, eight hundred eighteen thousand, one hundred forty-four".