13235254164 has 144 divisors (see below), whose sum is σ = 37564502976. Its totient is φ = 3893875200.

The previous prime is 13235254163. The next prime is 13235254183. The reversal of 13235254164 is 46145253231.

13235254164 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 52 + 541 + 64 = 666.

13235254164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13235254163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11149579 + ... + 11150765.

It is an arithmetic number, because the mean of its divisors is an integer number (260864604).

Almost surely, 2^13235254164 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 13235254164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18782251488).

13235254164 is an abundant number, since it is smaller than the sum of its proper divisors (24329248812).

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

13235254164 is a wasteful number, since it uses less digits than its factorization.

13235254164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2001 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 13235254164 in words is "thirteen billion, two hundred thirty-five million, two hundred fifty-four thousand, one hundred sixty-four".