13526673408 has 240 divisors, whose sum is σ = 40993292340. Its totient is φ = 4443144192.

The previous prime is 13526673397. The next prime is 13526673499. The reversal of 13526673408 is 80437662531.

13526673408 is a `hidden beast` number, since 13 + 526 + 6 + 73 + 40 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12680561664 + 846111744 = 112608^2 + 29088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12109266 + ... + 12110382.

Almost surely, 2^13526673408 is an apocalyptic number.

13526673408 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 13526673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20496646170).

13526673408 is an abundant number, since it is smaller than the sum of its proper divisors (27466618932).

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

13526673408 is an equidigital number, since it uses as much as digits as its factorization.

13526673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13526673408 in words is "thirteen billion, five hundred twenty-six million, six hundred seventy-three thousand, four hundred eight".