13467138048 has 864 divisors, whose sum is σ = 51657540480. Its totient is φ = 3344302080.

The previous prime is 13467138031. The next prime is 13467138049. The reversal of 13467138048 is 84083176431.

13467138048 is a `hidden beast` number, since 13 + 467 + 138 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13467137994 and 13467138012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13467138049) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 363976686 + ... + 363976722.

It is an arithmetic number, because the mean of its divisors is an integer number (59788820).

Almost surely, 2^13467138048 is an apocalyptic number.

13467138048 is a gapful number since it is divisible by the number (18) 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 13467138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25828770240).

13467138048 is an abundant number, since it is smaller than the sum of its proper divisors (38190402432).

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

13467138048 is a wasteful number, since it uses less digits than its factorization.

13467138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13467138048 in words is "thirteen billion, four hundred sixty-seven million, one hundred thirty-eight thousand, forty-eight".