13348872192 has 224 divisors, whose sum is σ = 38218262400. Its totient is φ = 4129292288.

The previous prime is 13348872169. The next prime is 13348872223. The reversal of 13348872192 is 29127884331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 37183309 + ... + 37183667.

Almost surely, 2^13348872192 is an apocalyptic number.

13348872192 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 13348872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19109131200).

13348872192 is an abundant number, since it is smaller than the sum of its proper divisors (24869390208).

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

13348872192 is an equidigital number, since it uses as much as digits as its factorization.

13348872192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 470 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 13348872192 in words is "thirteen billion, three hundred forty-eight million, eight hundred seventy-two thousand, one hundred ninety-two".