13326392448 has 192 divisors, whose sum is σ = 39173222400. Its totient is φ = 4347592704.

The previous prime is 13326392423. The next prime is 13326392461. The reversal of 13326392448 is 84429362331.

13326392448 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 639 + 2 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×13326392448³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11557440 + ... + 11558592.

It is an arithmetic number, because the mean of its divisors is an integer number (204027200).

Almost surely, 2^13326392448 is an apocalyptic number.

13326392448 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 13326392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19586611200).

13326392448 is an abundant number, since it is smaller than the sum of its proper divisors (25846829952).

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

13326392448 is a wasteful number, since it uses less digits than its factorization.

13326392448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1364 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 13326392448 in words is "thirteen billion, three hundred twenty-six million, three hundred ninety-two thousand, four hundred forty-eight".