13006154368 has 64 divisors (see below), whose sum is σ = 27462061800. Its totient is φ = 6114476032.

The previous prime is 13006154363. The next prime is 13006154387. The reversal of 13006154368 is 86345160031.

It can be written as a sum of positive squares in 4 ways, for example, as 12456345664 + 549808704 = 111608^2 + 23448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13006154363) 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 7 ways as a sum of consecutive naturals, for example, 2802546 + ... + 2807182.

Almost surely, 2^13006154368 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 13006154368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13731030900).

13006154368 is an abundant number, since it is smaller than the sum of its proper divisors (14455907432).

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

13006154368 is a wasteful number, since it uses less digits than its factorization.

13006154368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 13006154368 in words is "thirteen billion, six million, one hundred fifty-four thousand, three hundred sixty-eight".