13448595456000 has 960 divisors, whose sum is σ = 50215233519360. Its totient is φ = 3551212339200.

The previous prime is 13448595455993. The next prime is 13448595456029. The reversal of 13448595456000 is 65459584431.

13448595456000 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 8 + 595 + 45 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×13448595456000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5916670864 + ... + 5916673136.

It is an arithmetic number, because the mean of its divisors is an integer number (52307534916).

Almost surely, 2^{13448595456000} is an apocalyptic number.

13448595456000 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 13448595456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25107616759680).

13448595456000 is an abundant number, since it is smaller than the sum of its proper divisors (36766638063360).

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

13448595456000 is an equidigital number, since it uses as much as digits as its factorization.

13448595456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 13448595456000 in words is "thirteen trillion, four hundred forty-eight billion, five hundred ninety-five million, four hundred fifty-six thousand".