13655485008 has 400 divisors, whose sum is σ = 46011340800. Its totient is φ = 3863946240.

The previous prime is 13655484979. The next prime is 13655485013. The reversal of 13655485008 is 80058455631.

13655485008 is a `hidden beast` number, since 13 + 6 + 554 + 85 + 0 + 0 + 8 = 666.

13655485008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 107523441 + ... + 107523567.

It is an arithmetic number, because the mean of its divisors is an integer number (115028352).

Almost surely, 2^13655485008 is an apocalyptic number.

13655485008 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 13655485008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23005670400).

13655485008 is an abundant number, since it is smaller than the sum of its proper divisors (32355855792).

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

13655485008 is a wasteful number, since it uses less digits than its factorization.

13655485008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 13655485008 in words is "thirteen billion, six hundred fifty-five million, four hundred eighty-five thousand, eight".