20984864693776 has 45 divisors (see below), whose sum is σ = 41276485890381. Its totient is φ = 10335224197056.

The previous prime is 20984864693759. The next prime is 20984864693899. The reversal of 20984864693776 is 67739646848902.

The square root of 20984864693776 is 4580924.

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., 11538929610000 + 9445935083776 = 3396900^2 + 3073424^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20984864693696 and 20984864693705.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1227679086 + ... + 1227696178.

Almost surely, 2^{20984864693776} is an apocalyptic number.

20984864693776 is the 4580924-th square number.

It is an amenable number.

20984864693776 is a deficient number, since it is larger than the sum of its proper divisors (20291621196605).

20984864693776 is an frugal number, since it uses more digits than its factorization.

20984864693776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34328 (or 17162 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 79.

The spelling of 20984864693776 in words is "twenty trillion, nine hundred eighty-four billion, eight hundred sixty-four million, six hundred ninety-three thousand, seven hundred seventy-six".