13489065091008 has 1008 divisors, whose sum is σ = 45737311969440. Its totient is φ = 3771118632960.

The previous prime is 13489065090937. The next prime is 13489065091079. The reversal of 13489065091008 is 80019056098431.

13489065091008 is a `hidden beast` number, since 1 + 3 + 48 + 90 + 6 + 509 + 1 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13489065090937) and next prime (13489065091079).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7721272791 + ... + 7721274537.

It is an arithmetic number, because the mean of its divisors is an integer number (45374317430).

Almost surely, 2^{13489065091008} is an apocalyptic number.

13489065091008 is a gapful number since it is divisible by the number (18) 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 13489065091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22868655984720).

13489065091008 is an abundant number, since it is smaller than the sum of its proper divisors (32248246878432).

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

13489065091008 is a wasteful number, since it uses less digits than its factorization.

13489065091008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 13489065091008 in words is "thirteen trillion, four hundred eighty-nine billion, sixty-five million, ninety-one thousand, eight".