13354906272 has 96 divisors (see below), whose sum is σ = 35302740480. Its totient is φ = 4420500480.

The previous prime is 13354906267. The next prime is 13354906289. The reversal of 13354906272 is 27260945331.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 13475697 + ... + 13476687.

It is an arithmetic number, because the mean of its divisors is an integer number (367736880).

Almost surely, 2^13354906272 is an apocalyptic number.

13354906272 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 13354906272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17651370240).

13354906272 is an abundant number, since it is smaller than the sum of its proper divisors (21947834208).

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

13354906272 is a wasteful number, since it uses less digits than its factorization.

13354906272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 13354906272 in words is "thirteen billion, three hundred fifty-four million, nine hundred six thousand, two hundred seventy-two".