63133433136 has 60 divisors (see below), whose sum is σ = 177425295840. Its totient is φ = 20956414080.

The previous prime is 63133433131. The next prime is 63133433161.

63133433136 is a `hidden beast` number, since 6 + 3 + 1 + 334 + 3 + 313 + 6 = 666.

63133433136 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×63133433136³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 63133433136.

It is not an unprimeable number, because it can be changed into a prime (63133433131) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 882795 + ... + 951626.

It is an arithmetic number, because the mean of its divisors is an integer number (2957088264).

Almost surely, 2^63133433136 is an apocalyptic number.

It is an amenable number.

63133433136 is an abundant number, since it is smaller than the sum of its proper divisors (114291862704).

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

63133433136 is a wasteful number, since it uses less digits than its factorization.

63133433136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834674 (or 1834665 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The spelling of 63133433136 in words is "sixty-three billion, one hundred thirty-three million, four hundred thirty-three thousand, one hundred thirty-six".