20468814912 has 1344 divisors, whose sum is σ = 85675622400. Its totient is φ = 4658135040.

The previous prime is 20468814871. The next prime is 20468814941. The reversal of 20468814912 is 21941886402.

20468814912 is a `hidden beast` number, since 20 + 4 + 68 + 81 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 660284337 + ... + 660284367.

Almost surely, 2^20468814912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20468814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42837811200).

20468814912 is an abundant number, since it is smaller than the sum of its proper divisors (65206807488).

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

20468814912 is a wasteful number, since it uses less digits than its factorization.

20468814912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20468814912 in words is "twenty billion, four hundred sixty-eight million, eight hundred fourteen thousand, nine hundred twelve".