63333122133336 has 64 divisors (see below), whose sum is σ = 181817575516800. Its totient is φ = 18181757548800.

The previous prime is 63333122133319. The next prime is 63333122133341.

63333122133336 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×63333122133336² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6313105245 + ... + 6313115276.

It is an arithmetic number, because the mean of its divisors is an integer number (2840899617450).

Almost surely, 2^{63333122133336} is an apocalyptic number.

63333122133336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

63333122133336 is an abundant number, since it is smaller than the sum of its proper divisors (118484453383464).

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

63333122133336 is a wasteful number, since it uses less digits than its factorization.

63333122133336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626220560 (or 12626220556 counting only the distinct ones).

The product of its digits is 944784, while the sum is 42.

It can be divided in two parts, 6333312 and 2133336, that added together give a palindrome (8466648).

The spelling of 63333122133336 in words is "sixty-three trillion, three hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, three hundred thirty-six".