13649560848 has 720 divisors, whose sum is σ = 52792871040. Its totient is φ = 3207536640.

The previous prime is 13649560817. The next prime is 13649560853. The reversal of 13649560848 is 84806594631.

13649560848 is a `hidden beast` number, since 1 + 36 + 4 + 9 + 560 + 8 + 48 = 666.

It is a super-2 number, since 2×13649560848² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13649560794 and 13649560803.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60130111 + ... + 60130337.

It is an arithmetic number, because the mean of its divisors is an integer number (73323432).

Almost surely, 2^13649560848 is an apocalyptic number.

13649560848 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 13649560848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26396435520).

13649560848 is an abundant number, since it is smaller than the sum of its proper divisors (39143310192).

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

13649560848 is a wasteful number, since it uses less digits than its factorization.

13649560848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 13649560848 in words is "thirteen billion, six hundred forty-nine million, five hundred sixty thousand, eight hundred forty-eight".