21967982656 has 63 divisors (see below), whose sum is σ = 44278576797. Its totient is φ = 10813839360.

The previous prime is 21967982639. The next prime is 21967982671. The reversal of 21967982656 is 65628976912.

The square root of 21967982656 is 148216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9864462400 + 12103520256 = 99320^2 + 110016^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21967982594 and 21967982603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115015521 + ... + 115015711.

Almost surely, 2^21967982656 is an apocalyptic number.

21967982656 is the 148216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21967982656

21967982656 is an abundant number, since it is smaller than the sum of its proper divisors (22310594141).

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

21967982656 is an frugal number, since it uses more digits than its factorization.

21967982656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 290 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 61.

The spelling of 21967982656 in words is "twenty-one billion, nine hundred sixty-seven million, nine hundred eighty-two thousand, six hundred fifty-six".