63268162848 has 144 divisors (see below), whose sum is σ = 196404953472. Its totient is φ = 19159488000.

The previous prime is 63268162831. The next prime is 63268162877. The reversal of 63268162848 is 84826186236.

63268162848 is a `hidden beast` number, since 6 + 3 + 2 + 6 + 8 + 1 + 628 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×63268162848² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 63268162794 and 63268162803.

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 23 ways as a sum of consecutive naturals, for example, 5509753 + ... + 5521223.

It is an arithmetic number, because the mean of its divisors is an integer number (1363923288).

Almost surely, 2^63268162848 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 63268162848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98202476736).

63268162848 is an abundant number, since it is smaller than the sum of its proper divisors (133136790624).

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

63268162848 is a wasteful number, since it uses less digits than its factorization.

63268162848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13239 (or 13228 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 63268162848 in words is "sixty-three billion, two hundred sixty-eight million, one hundred sixty-two thousand, eight hundred forty-eight".