13349863152 has 120 divisors (see below), whose sum is σ = 38551180880. Its totient is φ = 4423144320.

The previous prime is 13349863151. The next prime is 13349863171. The reversal of 13349863152 is 25136894331.

13349863152 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 9 + 8 + 631 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13349863098 and 13349863107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13349863151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24676002 + ... + 24676542.

Almost surely, 2^13349863152 is an apocalyptic number.

13349863152 is a gapful number since it is divisible by the number (12) 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 13349863152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19275590440).

13349863152 is an abundant number, since it is smaller than the sum of its proper divisors (25201317728).

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

13349863152 is an equidigital number, since it uses as much as digits as its factorization.

13349863152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 785 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 13349863152 in words is "thirteen billion, three hundred forty-nine million, eight hundred sixty-three thousand, one hundred fifty-two".