20871464448 has 320 divisors, whose sum is σ = 60329567232. Its totient is φ = 6396149760.

The previous prime is 20871464447. The next prime is 20871464483. The reversal of 20871464448 is 84446417802.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 20871464397 and 20871464406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20871464447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132939186 + ... + 132939342.

Almost surely, 2^20871464448 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 20871464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30164783616).

20871464448 is an abundant number, since it is smaller than the sum of its proper divisors (39458102784).

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

20871464448 is a wasteful number, since it uses less digits than its factorization.

20871464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 20871464448 in words is "twenty billion, eight hundred seventy-one million, four hundred sixty-four thousand, four hundred forty-eight".