20881406016 has 189 divisors, whose sum is σ = 62431609071. Its totient is φ = 6929255808.

The previous prime is 20881405997. The next prime is 20881406057. The reversal of 20881406016 is 61060418802.

The square root of 20881406016 is 144504.

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

20881406016 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 1 + 40 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 93638481 + ... + 93638703.

Almost surely, 2^20881406016 is an apocalyptic number.

20881406016 is the 144504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20881406016

20881406016 is an abundant number, since it is smaller than the sum of its proper divisors (41550203055).

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

20881406016 is an frugal number, since it uses more digits than its factorization.

20881406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 20881406016 by its sum of digits (36), we get a square (751730616576 = 867024²).

20881406016 divided by its sum of digits (36) gives a square (580039056 = 24084²).

The spelling of 20881406016 in words is "twenty billion, eight hundred eighty-one million, four hundred six thousand, sixteen".