20845835644176 has 135 divisors (see below), whose sum is σ = 61975751431503. Its totient is φ = 6539577799680.

The previous prime is 20845835644129. The next prime is 20845835644187. The reversal of 20845835644176 is 67144653854802.

The square root of 20845835644176 is 4565724.

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

20845835644176 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 58 + 3 + 564 + 4 + 17 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3150554000400 + 17695281643776 = 1774980^2 + 4206576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 931396506 + ... + 931418886.

Almost surely, 2^{20845835644176} is an apocalyptic number.

20845835644176 is the 4565724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20845835644176

20845835644176 is an abundant number, since it is smaller than the sum of its proper divisors (41129915787327).

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

20845835644176 is an frugal number, since it uses more digits than its factorization.

20845835644176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44810 (or 22403 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 20845835644176 in words is "twenty trillion, eight hundred forty-five billion, eight hundred thirty-five million, six hundred forty-four thousand, one hundred seventy-six".