13468342272 has 480 divisors, whose sum is σ = 46247423040. Its totient is φ = 3456122880.

The previous prime is 13468342241. The next prime is 13468342297. The reversal of 13468342272 is 27224386431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162269143 + ... + 162269225.

It is an arithmetic number, because the mean of its divisors is an integer number (96348798).

Almost surely, 2^13468342272 is an apocalyptic number.

13468342272 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 13468342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23123711520).

13468342272 is an abundant number, since it is smaller than the sum of its proper divisors (32779080768).

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

13468342272 is an frugal number, since it uses more digits than its factorization.

13468342272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 106 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The spelling of 13468342272 in words is "thirteen billion, four hundred sixty-eight million, three hundred forty-two thousand, two hundred seventy-two".