13526346036 has 96 divisors (see below), whose sum is σ = 36717649920. Its totient is φ = 3795724800.

The previous prime is 13526345981. The next prime is 13526346137. The reversal of 13526346036 is 63064362531.

13526346036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13526346036² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13526345985 and 13526346003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1612060 + ... + 1620428.

It is an arithmetic number, because the mean of its divisors is an integer number (382475520).

Almost surely, 2^13526346036 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 13526346036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358824960).

13526346036 is an abundant number, since it is smaller than the sum of its proper divisors (23191303884).

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

13526346036 is a wasteful number, since it uses less digits than its factorization.

13526346036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 13526346036 in words is "thirteen billion, five hundred twenty-six million, three hundred forty-six thousand, thirty-six".