13006048417888 has 24 divisors (see below), whose sum is σ = 25615442342952. Its totient is φ = 6500539251456.

The previous prime is 13006048417861. The next prime is 13006048417889. The reversal of 13006048417888 is 88871484060031.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006048417889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77569870 + ... + 77737357.

It is an arithmetic number, because the mean of its divisors is an integer number (1067310097623).

Almost surely, 2^{13006048417888} is an apocalyptic number.

It is an amenable number.

13006048417888 is a deficient number, since it is larger than the sum of its proper divisors (12609393925064).

13006048417888 is a wasteful number, since it uses less digits than its factorization.

13006048417888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155309854 (or 155309846 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 58.

The spelling of 13006048417888 in words is "thirteen trillion, six billion, forty-eight million, four hundred seventeen thousand, eight hundred eighty-eight".