13461023264 has 96 divisors (see below), whose sum is σ = 29622075840. Its totient is φ = 5978649600.

The previous prime is 13461023231. The next prime is 13461023273. The reversal of 13461023264 is 46232016431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13461023264.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3991499 + ... + 3994869.

It is an arithmetic number, because the mean of its divisors is an integer number (308563290).

Almost surely, 2^13461023264 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 13461023264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811037920).

13461023264 is an abundant number, since it is smaller than the sum of its proper divisors (16161052576).

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

13461023264 is a wasteful number, since it uses less digits than its factorization.

13461023264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 13461023264 its reverse (46232016431), we get a palindrome (59693039695).

The spelling of 13461023264 in words is "thirteen billion, four hundred sixty-one million, twenty-three thousand, two hundred sixty-four".