13508643248208 has 160 divisors (see below), whose sum is σ = 41057692139520. Its totient is φ = 4237798072320.

The previous prime is 13508643248171. The next prime is 13508643248257. The reversal of 13508643248208 is 80284234680531.

13508643248208 is a `hidden beast` number, since 1 + 3 + 50 + 8 + 64 + 324 + 8 + 208 = 666.

It is a super-2 number, since 2×13508643248208² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229331016 + ... + 229389912.

It is an arithmetic number, because the mean of its divisors is an integer number (256610575872).

Almost surely, 2^{13508643248208} is an apocalyptic number.

13508643248208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13508643248208 is an abundant number, since it is smaller than the sum of its proper divisors (27549048891312).

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

13508643248208 is a wasteful number, since it uses less digits than its factorization.

13508643248208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90162 (or 90150 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 13508643248208 in words is "thirteen trillion, five hundred eight billion, six hundred forty-three million, two hundred forty-eight thousand, two hundred eight".