20448348480 has 448 divisors, whose sum is σ = 82905600000. Its totient is φ = 4647684096.

The previous prime is 20448348469. The next prime is 20448348491. The reversal of 20448348480 is 8484384402.

20448348480 is a `hidden beast` number, since 20 + 448 + 34 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (20448348469) and next prime (20448348491).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12034671 + ... + 12036369.

Almost surely, 2^20448348480 is an apocalyptic number.

20448348480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20448348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41452800000).

20448348480 is an abundant number, since it is smaller than the sum of its proper divisors (62457251520).

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

20448348480 is a wasteful number, since it uses less digits than its factorization.

20448348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 20448348480 in words is "twenty billion, four hundred forty-eight million, three hundred forty-eight thousand, four hundred eighty".