21696118484544 has 2016 divisors, whose sum is σ = 82064146784256. Its totient is φ = 5649153269760.

The previous prime is 21696118484479. The next prime is 21696118484569. The reversal of 21696118484544 is 44548481169612.

21696118484544 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 6 + 1 + 1 + 8 + 4 + 84 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39663836079 + ... + 39663836625.

It is an arithmetic number, because the mean of its divisors is an integer number (40706422016).

Almost surely, 2^{21696118484544} is an apocalyptic number.

21696118484544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21696118484544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41032073392128).

21696118484544 is an abundant number, since it is smaller than the sum of its proper divisors (60368028299712).

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

21696118484544 is a wasteful number, since it uses less digits than its factorization.

21696118484544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 686 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 21696118484544 in words is "twenty-one trillion, six hundred ninety-six billion, one hundred eighteen million, four hundred eighty-four thousand, five hundred forty-four".