13029666048 has 864 divisors, whose sum is σ = 49660369920. Its totient is φ = 3344302080.

The previous prime is 13029666047. The next prime is 13029666061. The reversal of 13029666048 is 84066692031.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 13029665994 and 13029666012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13029666047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178488540 + ... + 178488612.

It is an arithmetic number, because the mean of its divisors is an integer number (57477280).

Almost surely, 2^13029666048 is an apocalyptic number.

13029666048 is a gapful number since it is divisible by the number (18) 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 13029666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24830184960).

13029666048 is an abundant number, since it is smaller than the sum of its proper divisors (36630703872).

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

13029666048 is a wasteful number, since it uses less digits than its factorization.

13029666048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13029666048 in words is "thirteen billion, twenty-nine million, six hundred sixty-six thousand, forty-eight".