13448148480 has 480 divisors, whose sum is σ = 51074543520. Its totient is φ = 3249930240.

The previous prime is 13448148463. The next prime is 13448148499. The reversal of 13448148480 is 8484184431.

13448148480 is a `hidden beast` number, since 13 + 4 + 4 + 81 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17671300 + ... + 17672060.

It is an arithmetic number, because the mean of its divisors is an integer number (106405299).

Almost surely, 2^13448148480 is an apocalyptic number.

13448148480 is a gapful number since it is divisible by the number (10) 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 13448148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25537271760).

13448148480 is an abundant number, since it is smaller than the sum of its proper divisors (37626395040).

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

13448148480 is a wasteful number, since it uses less digits than its factorization.

13448148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 13448148480 in words is "thirteen billion, four hundred forty-eight million, one hundred forty-eight thousand, four hundred eighty".