13162607808 has 448 divisors, whose sum is σ = 44460810240. Its totient is φ = 3350274048.

The previous prime is 13162607803. The next prime is 13162607813. The reversal of 13162607808 is 80870626131.

It is an interprime number because it is at equal distance from previous prime (13162607803) and next prime (13162607813).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 13162607808.

It is not an unprimeable number, because it can be changed into a prime (13162607803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42874791 + ... + 42875097.

It is an arithmetic number, because the mean of its divisors is an integer number (99242880).

Almost surely, 2^13162607808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13162607808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22230405120).

13162607808 is an abundant number, since it is smaller than the sum of its proper divisors (31298202432).

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

13162607808 is a wasteful number, since it uses less digits than its factorization.

13162607808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 13162607808 in words is "thirteen billion, one hundred sixty-two million, six hundred seven thousand, eight hundred eight".