21632016216384 has 112 divisors (see below), whose sum is σ = 72678996323200. Its totient is φ = 6180576058368.

The previous prime is 21632016216353. The next prime is 21632016216457. The reversal of 21632016216384 is 48361261023612.

21632016216384 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 2 + 0 + 1 + 6 + 2 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×21632016216384³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 894168469 + ... + 894192660.

Almost surely, 2^{21632016216384} is an apocalyptic number.

21632016216384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21632016216384 is an abundant number, since it is smaller than the sum of its proper divisors (51046980106816).

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

21632016216384 is a wasteful number, since it uses less digits than its factorization.

21632016216384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788361157 (or 1788361141 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 21632016216384 its reverse (48361261023612), we get a palindrome (69993277239996).

The spelling of 21632016216384 in words is "twenty-one trillion, six hundred thirty-two billion, sixteen million, two hundred sixteen thousand, three hundred eighty-four".