20032449214968 has 384 divisors, whose sum is σ = 56491367961600. Its totient is φ = 6408910771200.

The previous prime is 20032449214963. The next prime is 20032449215003. The reversal of 20032449214968 is 86941294423002.

20032449214968 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 2 + 4 + 492 + 149 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032449214963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28990519503 + ... + 28990520193.

It is an arithmetic number, because the mean of its divisors is an integer number (147112937400).

Almost surely, 2^{20032449214968} 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 20032449214968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28245683980800).

20032449214968 is an abundant number, since it is smaller than the sum of its proper divisors (36458918746632).

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

20032449214968 is a wasteful number, since it uses less digits than its factorization.

20032449214968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 20032449214968 in words is "twenty trillion, thirty-two billion, four hundred forty-nine million, two hundred fourteen thousand, nine hundred sixty-eight".