13801611264 has 336 divisors, whose sum is σ = 43673408208. Its totient is φ = 3864526848.

The previous prime is 13801611253. The next prime is 13801611269. The reversal of 13801611264 is 46211610831.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13801611269) 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 23 ways as a sum of consecutive naturals, for example, 87908274 + ... + 87908430.

Almost surely, 2^13801611264 is an apocalyptic number.

13801611264 is a gapful number since it is divisible by the number (14) 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 13801611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21836704104).

13801611264 is an abundant number, since it is smaller than the sum of its proper divisors (29871796944).

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

13801611264 is an equidigital number, since it uses as much as digits as its factorization.

13801611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 13801611264 in words is "thirteen billion, eight hundred one million, six hundred eleven thousand, two hundred sixty-four".