63181145664 has 1260 divisors, whose sum is σ = 252296205084. Its totient is φ = 15488299008.

The previous prime is 63181145641. The next prime is 63181145669. The reversal of 63181145664 is 46654118136.

63181145664 is a `hidden beast` number, since 6 + 3 + 1 + 81 + 1 + 4 + 566 + 4 = 666.

63181145664 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 2 ways, for example, as 26501235264 + 36679910400 = 162792^2 + 191520^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63181145669) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1192097062 + ... + 1192097114.

Almost surely, 2^63181145664 is an apocalyptic number.

63181145664 is a gapful number since it is divisible by the number (64) 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 63181145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126148102542).

63181145664 is an abundant number, since it is smaller than the sum of its proper divisors (189115059420).

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

63181145664 is a wasteful number, since it uses less digits than its factorization.

63181145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 97 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 63181145664 in words is "sixty-three billion, one hundred eighty-one million, one hundred forty-five thousand, six hundred sixty-four".