13347976895616 has 256 divisors, whose sum is σ = 39453601305600. Its totient is φ = 3963990650880.

The previous prime is 13347976895609. The next prime is 13347976895623. The reversal of 13347976895616 is 61659867974331.

It is an interprime number because it is at equal distance from previous prime (13347976895609) and next prime (13347976895623).

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198540855 + ... + 198608073.

It is an arithmetic number, because the mean of its divisors is an integer number (154115630100).

Almost surely, 2^{13347976895616} is an apocalyptic number.

13347976895616 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 13347976895616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19726800652800).

13347976895616 is an abundant number, since it is smaller than the sum of its proper divisors (26105624409984).

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

13347976895616 is a wasteful number, since it uses less digits than its factorization.

13347976895616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68187 (or 68175 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 75.

The spelling of 13347976895616 in words is "thirteen trillion, three hundred forty-seven billion, nine hundred seventy-six million, eight hundred ninety-five thousand, six hundred sixteen".