13985629812 has 288 divisors, whose sum is σ = 45174205440. Its totient is φ = 3543344640.

The previous prime is 13985629783. The next prime is 13985629829. The reversal of 13985629812 is 21892658931.

13985629812 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 5 + 629 + 8 + 1 + 2 = 666.

13985629812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 20476423 + ... + 20477105.

It is an arithmetic number, because the mean of its divisors is an integer number (156854880).

Almost surely, 2^13985629812 is an apocalyptic number.

13985629812 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 13985629812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720).

13985629812 is an abundant number, since it is smaller than the sum of its proper divisors (31188575628).

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

13985629812 is a wasteful number, since it uses less digits than its factorization.

13985629812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 878 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 13985629812 in words is "thirteen billion, nine hundred eighty-five million, six hundred twenty-nine thousand, eight hundred twelve".