21632142164336 has 120 divisors (see below), whose sum is σ = 47773344414432. Its totient is φ = 9474153638400.

The previous prime is 21632142164251. The next prime is 21632142164383. The reversal of 21632142164336 is 63346124123612.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 5912126 + ... + 8844066.

Almost surely, 2^{21632142164336} 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 21632142164336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23886672207216).

21632142164336 is an abundant number, since it is smaller than the sum of its proper divisors (26141202250096).

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

21632142164336 is a wasteful number, since it uses less digits than its factorization.

21632142164336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932111 (or 2932094 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

Adding to 21632142164336 its reverse (63346124123612), we get a palindrome (84978266287948).

The spelling of 21632142164336 in words is "twenty-one trillion, six hundred thirty-two billion, one hundred forty-two million, one hundred sixty-four thousand, three hundred thirty-six".