13396046976 has 320 divisors, whose sum is σ = 45201340800. Its totient is φ = 3904174080.

The previous prime is 13396046953. The next prime is 13396046987. The reversal of 13396046976 is 67964069331.

13396046976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 2558281 + ... + 2563511.

It is an arithmetic number, because the mean of its divisors is an integer number (141254190).

Almost surely, 2^13396046976 is an apocalyptic number.

13396046976 is a gapful number since it is divisible by the number (16) 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 13396046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22600670400).

13396046976 is an abundant number, since it is smaller than the sum of its proper divisors (31805293824).

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

13396046976 is a wasteful number, since it uses less digits than its factorization.

13396046976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 13396046976 in words is "thirteen billion, three hundred ninety-six million, forty-six thousand, nine hundred seventy-six".