13046568576 has 128 divisors (see below), whose sum is σ = 38065420800. Its totient is φ = 3940789248.

The previous prime is 13046568539. The next prime is 13046568583. The reversal of 13046568576 is 67586564031.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 128935 + ... + 206681.

It is an arithmetic number, because the mean of its divisors is an integer number (297386100).

Almost surely, 2^13046568576 is an apocalyptic number.

13046568576 is a gapful number since it is divisible by the number (16) 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 13046568576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19032710400).

13046568576 is an abundant number, since it is smaller than the sum of its proper divisors (25018852224).

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

13046568576 is a wasteful number, since it uses less digits than its factorization.

13046568576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77806 (or 77794 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 13046568576 in words is "thirteen billion, forty-six million, five hundred sixty-eight thousand, five hundred seventy-six".