13448438640 has 960 divisors, whose sum is σ = 60560409600. Its totient is φ = 2678427648.

The previous prime is 13448438599. The next prime is 13448438669. The reversal of 13448438640 is 4683484431.

13448438640 is a `hidden beast` number, since 134 + 48 + 438 + 6 + 40 = 666.

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 191 ways as a sum of consecutive naturals, for example, 48550182 + ... + 48550458.

It is an arithmetic number, because the mean of its divisors is an integer number (63083760).

Almost surely, 2^13448438640 is an apocalyptic number.

13448438640 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 13448438640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30280204800).

13448438640 is an abundant number, since it is smaller than the sum of its proper divisors (47111970960).

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

13448438640 is a wasteful number, since it uses less digits than its factorization.

13448438640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 13448438640 in words is "thirteen billion, four hundred forty-eight million, four hundred thirty-eight thousand, six hundred forty".