13652774352 has 180 divisors, whose sum is σ = 44618410980. Its totient is φ = 3885751296.

The previous prime is 13652774323. The next prime is 13652774357. The reversal of 13652774352 is 25347725631.

13652774352 is a `hidden beast` number, since 1 + 3 + 6 + 527 + 74 + 3 + 52 = 666.

13652774352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 869306256 + 12783468096 = 29484^2 + 113064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13652774298 and 13652774307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13652774357) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1894468 + ... + 1901660.

It is an arithmetic number, because the mean of its divisors is an integer number (247880061).

Almost surely, 2^13652774352 is an apocalyptic number.

13652774352 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 13652774352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22309205490).

13652774352 is an abundant number, since it is smaller than the sum of its proper divisors (30965636628).

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

13652774352 is a wasteful number, since it uses less digits than its factorization.

13652774352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490 (or 7474 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 13652774352 in words is "thirteen billion, six hundred fifty-two million, seven hundred seventy-four thousand, three hundred fifty-two".