13766003007488 has 56 divisors (see below), whose sum is σ = 27571001880492. Its totient is φ = 6872831819776.

The previous prime is 13766003007487. The next prime is 13766003007521. The reversal of 13766003007488 is 88470030066731.

It can be written as a sum of positive squares in 2 ways, for example, as 13763268972544 + 2734034944 = 3709888^2 + 52288^2 .

It is not an unprimeable number, because it can be changed into a prime (13766003007487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4304906 + ... + 6787062.

Almost surely, 2^{13766003007488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13766003007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13785500940246).

13766003007488 is an abundant number, since it is smaller than the sum of its proper divisors (13804998873004).

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

13766003007488 is an frugal number, since it uses more digits than its factorization.

13766003007488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482860 (or 2482836 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 13766003007488 in words is "thirteen trillion, seven hundred sixty-six billion, three million, seven thousand, four hundred eighty-eight".