63130201344 has 486 divisors, whose sum is σ = 223612348050. Its totient is φ = 17076842496.

The previous prime is 63130201319. The next prime is 63130201357. The reversal of 63130201344 is 44310203136.

63130201344 is a `hidden beast` number, since 6 + 313 + 0 + 2 + 0 + 1 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49925433600 + 13204767744 = 223440^2 + 114912^2 .

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 40754682 + ... + 40756230.

Almost surely, 2^63130201344 is an apocalyptic number.

63130201344 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 63130201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111806174025).

63130201344 is an abundant number, since it is smaller than the sum of its proper divisors (160482146706).

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

63130201344 is a wasteful number, since it uses less digits than its factorization.

63130201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 63130201344 in words is "sixty-three billion, one hundred thirty million, two hundred one thousand, three hundred forty-four".