13254478272 has 336 divisors, whose sum is σ = 46285903872. Its totient is φ = 3544104960.

The previous prime is 13254478267. The next prime is 13254478331. The reversal of 13254478272 is 27287445231.

13254478272 is a `hidden beast` number, since 1 + 32 + 544 + 7 + 8 + 2 + 72 = 666.

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

Its product of digits (752640) is a multiple of the sum of its prime factors (3136).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4357072 + ... + 4360112.

Almost surely, 2^13254478272 is an apocalyptic number.

13254478272 is a gapful number since it is divisible by the number (12) 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 13254478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23142951936).

13254478272 is an abundant number, since it is smaller than the sum of its proper divisors (33031425600).

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

13254478272 is a wasteful number, since it uses less digits than its factorization.

13254478272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3123 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 13254478272 in words is "thirteen billion, two hundred fifty-four million, four hundred seventy-eight thousand, two hundred seventy-two".