13347295104 has 384 divisors, whose sum is σ = 44214307200. Its totient is φ = 3533967360.

The previous prime is 13347295069. The next prime is 13347295147. The reversal of 13347295104 is 40159274331.

13347295104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 11476027 + ... + 11477189.

It is an arithmetic number, because the mean of its divisors is an integer number (115141425).

Almost surely, 2^13347295104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13347295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22107153600).

13347295104 is an abundant number, since it is smaller than the sum of its proper divisors (30867012096).

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

13347295104 is a wasteful number, since it uses less digits than its factorization.

13347295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 13347295104 in words is "thirteen billion, three hundred forty-seven million, two hundred ninety-five thousand, one hundred four".