13448908800 has 234 divisors, whose sum is σ = 48174399962. Its totient is φ = 3586129920.

The previous prime is 13448908793. The next prime is 13448908807. The reversal of 13448908800 is 880984431.

It is an interprime number because it is at equal distance from previous prime (13448908793) and next prime (13448908807).

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 13448577024 = 576^2 + 115968^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13448908807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 914304 + ... + 928896.

Almost surely, 2^13448908800 is an apocalyptic number.

13448908800 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 13448908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24087199981).

13448908800 is an abundant number, since it is smaller than the sum of its proper divisors (34725491162).

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

13448908800 is a wasteful number, since it uses less digits than its factorization.

13448908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14633 (or 14603 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 13448908800 in words is "thirteen billion, four hundred forty-eight million, nine hundred eight thousand, eight hundred".