13548676044480 has 448 divisors, whose sum is σ = 44783499317760. Its totient is φ = 3467626905600.

The previous prime is 13548676044433. The next prime is 13548676044487. The reversal of 13548676044480 is 8444067684531.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (13548676044487) 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 63 ways as a sum of consecutive naturals, for example, 2265283090 + ... + 2265289070.

It is an arithmetic number, because the mean of its divisors is an integer number (99963168120).

Almost surely, 2^{13548676044480} is an apocalyptic number.

13548676044480 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 13548676044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391749658880).

13548676044480 is an abundant number, since it is smaller than the sum of its proper divisors (31234823273280).

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

13548676044480 is a wasteful number, since it uses less digits than its factorization.

13548676044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6968 (or 6958 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 13548676044480 in words is "thirteen trillion, five hundred forty-eight billion, six hundred seventy-six million, forty-four thousand, four hundred eighty".