13662731952 has 240 divisors, whose sum is σ = 41991955200. Its totient is φ = 4133015040.

The previous prime is 13662731947. The next prime is 13662731963. The reversal of 13662731952 is 25913726631.

13662731952 is a `hidden beast` number, since 1 + 3 + 6 + 627 + 3 + 19 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13662731898 and 13662731907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5665627 + ... + 5668037.

It is an arithmetic number, because the mean of its divisors is an integer number (174966480).

Almost surely, 2^13662731952 is an apocalyptic number.

13662731952 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 13662731952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995977600).

13662731952 is an abundant number, since it is smaller than the sum of its proper divisors (28329223248).

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

13662731952 is a wasteful number, since it uses less digits than its factorization.

13662731952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2527 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 13662731952 in words is "thirteen billion, six hundred sixty-two million, seven hundred thirty-one thousand, nine hundred fifty-two".