13376178816 has 1024 divisors, whose sum is σ = 53299814400. Its totient is φ = 2854748160.

The previous prime is 13376178811. The next prime is 13376178817. The reversal of 13376178816 is 61887167331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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

It is not an unprimeable number, because it can be changed into a prime (13376178811) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150294100 + ... + 150294188.

It is an arithmetic number, because the mean of its divisors is an integer number (52050600).

Almost surely, 2^13376178816 is an apocalyptic number.

13376178816 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 13376178816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26649907200).

13376178816 is an abundant number, since it is smaller than the sum of its proper divisors (39923635584).

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

13376178816 is a wasteful number, since it uses less digits than its factorization.

13376178816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The spelling of 13376178816 in words is "thirteen billion, three hundred seventy-six million, one hundred seventy-eight thousand, eight hundred sixteen".