21738648633 has 48 divisors (see below), whose sum is σ = 32128358400. Its totient is φ = 13062558912.

The previous prime is 21738648601. The next prime is 21738648641. The reversal of 21738648633 is 33684683712.

It is not a de Polignac number, because 21738648633 - 2⁵ = 21738648601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21738648643) 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 47 ways as a sum of consecutive naturals, for example, 14272810 + ... + 14274332.

It is an arithmetic number, because the mean of its divisors is an integer number (669340800).

Almost surely, 2^21738648633 is an apocalyptic number.

It is an amenable number.

21738648633 is a deficient number, since it is larger than the sum of its proper divisors (10389709767).

21738648633 is a wasteful number, since it uses less digits than its factorization.

21738648633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2185 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 21738648633 in words is "twenty-one billion, seven hundred thirty-eight million, six hundred forty-eight thousand, six hundred thirty-three".