13089133086456 has 256 divisors, whose sum is σ = 39227800550400. Its totient is φ = 3561842958336.

The previous prime is 13089133086451. The next prime is 13089133086473. The reversal of 13089133086456 is 65468033198031.

It is a junction number, because it is equal to n+sod(n) for n = 13089133086396 and 13089133086405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13089133086451) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 56119776 + ... + 56352528.

It is an arithmetic number, because the mean of its divisors is an integer number (153233595900).

Almost surely, 2^{13089133086456} 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 13089133086456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19613900275200).

13089133086456 is an abundant number, since it is smaller than the sum of its proper divisors (26138667463944).

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

13089133086456 is a wasteful number, since it uses less digits than its factorization.

13089133086456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232998 (or 232994 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 13089133086456 in words is "thirteen trillion, eighty-nine billion, one hundred thirty-three million, eighty-six thousand, four hundred fifty-six".