13316895320064 has 192 divisors, whose sum is σ = 40601014272000. Its totient is φ = 3802379894784.

The previous prime is 13316895320051. The next prime is 13316895320101. The reversal of 13316895320064 is 46002359861331.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13316895319989 and 13316895320016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67294737 + ... + 67492335.

It is an arithmetic number, because the mean of its divisors is an integer number (211463616000).

Almost surely, 2^{13316895320064} is an apocalyptic number.

13316895320064 is a gapful number since it is divisible by the number (14) 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 13316895320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20300507136000).

13316895320064 is an abundant number, since it is smaller than the sum of its proper divisors (27284118951936).

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

13316895320064 is a wasteful number, since it uses less digits than its factorization.

13316895320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199198 (or 199178 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 13316895320064 in words is "thirteen trillion, three hundred sixteen billion, eight hundred ninety-five million, three hundred twenty thousand, sixty-four".