13488666048000 has 5120 divisors, whose sum is σ = 65632799232000. Its totient is φ = 2691366912000.

The previous prime is 13488666047929. The next prime is 13488666048001. The reversal of 13488666048000 is 84066688431.

It is a super-2 number, since 2×13488666048000² (a number of 27 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (13488666048001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 709929791991 + ... + 709929792009.

It is an arithmetic number, because the mean of its divisors is an integer number (12818906100).

Almost surely, 2^{13488666048000} is an apocalyptic number.

13488666048000 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 13488666048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32816399616000).

13488666048000 is an abundant number, since it is smaller than the sum of its proper divisors (52144133184000).

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

13488666048000 is a wasteful number, since it uses less digits than its factorization.

13488666048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 13488666048000 in words is "thirteen trillion, four hundred eighty-eight billion, six hundred sixty-six million, forty-eight thousand".