63823481881600 has 495 divisors, whose sum is σ = 184742756327717. Its totient is φ = 21860862320640.

The previous prime is 63823481881597. The next prime is 63823481881613. The reversal of 63823481881600 is 618818432836.

It is a happy number.

The square root of 63823481881600 is 7988960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22976453477376 + 40847028404224 = 4793376^2 + 6391168^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 62633445891 + ... + 62633446909.

Almost surely, 2^{63823481881600} is an apocalyptic number.

63823481881600 is the 7988960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63823481881600

63823481881600 is an abundant number, since it is smaller than the sum of its proper divisors (120919274446117).

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

63823481881600 is an frugal number, since it uses more digits than its factorization.

63823481881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 58.

The spelling of 63823481881600 in words is "sixty-three trillion, eight hundred twenty-three billion, four hundred eighty-one million, eight hundred eighty-one thousand, six hundred".