13629286000 has 160 divisors (see below), whose sum is σ = 36169488576. Its totient is φ = 4926080000.

The previous prime is 13629285983. The next prime is 13629286007. The reversal of 13629286000 is 68292631.

13629286000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13629286000³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13629286007) 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 31 ways as a sum of consecutive naturals, for example, 3804210 + ... + 3807790.

Almost surely, 2^13629286000 is an apocalyptic number.

13629286000 is a gapful number since it is divisible by the number (10) 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 13629286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084744288).

13629286000 is an abundant number, since it is smaller than the sum of its proper divisors (22540202576).

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

13629286000 is a wasteful number, since it uses less digits than its factorization.

13629286000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 13629286000 in words is "thirteen billion, six hundred twenty-nine million, two hundred eighty-six thousand".