13448515656576 has 2048 divisors, whose sum is σ = 52557565132800. Its totient is φ = 2931240960000.

The previous prime is 13448515656503. The next prime is 13448515656581. The reversal of 13448515656576 is 67565651584431.

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (362880000) is a multiple of the sum of its prime factors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43242815461 + ... + 43242815771.

It is an arithmetic number, because the mean of its divisors is an integer number (25662873600).

Almost surely, 2^{13448515656576} is an apocalyptic number.

13448515656576 is a gapful number since it is divisible by the number (16) 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 13448515656576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26278782566400).

13448515656576 is an abundant number, since it is smaller than the sum of its proper divisors (39109049476224).

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

13448515656576 is a wasteful number, since it uses less digits than its factorization.

13448515656576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its digits is 362880000, while the sum is 66.

The spelling of 13448515656576 in words is "thirteen trillion, four hundred forty-eight billion, five hundred fifteen million, six hundred fifty-six thousand, five hundred seventy-six".