13336125264 has 480 divisors, whose sum is σ = 48330906624. Its totient is φ = 3332689920.

The previous prime is 13336125241. The next prime is 13336125311. The reversal of 13336125264 is 46252163331.

13336125264 is a `hidden beast` number, since 1 + 3 + 33 + 612 + 5 + 2 + 6 + 4 = 666.

13336125264 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).

Its product of digits (77760) is a multiple of the sum of its prime divisors (486).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 39572904 + ... + 39573240.

Almost surely, 2^13336125264 is an apocalyptic number.

13336125264 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 13336125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165453312).

13336125264 is an abundant number, since it is smaller than the sum of its proper divisors (34994781360).

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

13336125264 is a wasteful number, since it uses less digits than its factorization.

13336125264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 13336125264 its reverse (46252163331), we get a palindrome (59588288595).

The spelling of 13336125264 in words is "thirteen billion, three hundred thirty-six million, one hundred twenty-five thousand, two hundred sixty-four".