13656831552 has 672 divisors, whose sum is σ = 53024227200. Its totient is φ = 3407007744.

The previous prime is 13656831547. The next prime is 13656831553. The reversal of 13656831552 is 25513865631.

13656831552 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 68 + 31 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

Its product of digits (648000) is a multiple of the sum of its prime factors (720).

It is a junction number, because it is equal to n+sod(n) for n = 13656831498 and 13656831507.

It is not an unprimeable number, because it can be changed into a prime (13656831553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20913658 + ... + 20914310.

It is an arithmetic number, because the mean of its divisors is an integer number (78905100).

Almost surely, 2^13656831552 is an apocalyptic number.

13656831552 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 13656831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26512113600).

13656831552 is an abundant number, since it is smaller than the sum of its proper divisors (39367395648).

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

13656831552 is a wasteful number, since it uses less digits than its factorization.

13656831552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 697 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 13656831552 in words is "thirteen billion, six hundred fifty-six million, eight hundred thirty-one thousand, five hundred fifty-two".