13617531648 has 288 divisors, whose sum is σ = 48447705600. Its totient is φ = 3685699584.

The previous prime is 13617531623. The next prime is 13617531661. The reversal of 13617531648 is 84613571631.

13617531648 is a `hidden beast` number, since 13 + 61 + 7 + 531 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911890 + ... + 926702.

It is an arithmetic number, because the mean of its divisors is an integer number (168221200).

Almost surely, 2^13617531648 is an apocalyptic number.

13617531648 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 13617531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24223852800).

13617531648 is an abundant number, since it is smaller than the sum of its proper divisors (34830173952).

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

13617531648 is a wasteful number, since it uses less digits than its factorization.

13617531648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14864 (or 14844 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 13617531648 in words is "thirteen billion, six hundred seventeen million, five hundred thirty-one thousand, six hundred forty-eight".