13629082900 has 36 divisors (see below), whose sum is σ = 29658968892. Its totient is φ = 5436175360.

The previous prime is 13629082853. The next prime is 13629082979. The reversal of 13629082900 is 928092631.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3012253456 + 10616829444 = 54884^2 + 103038^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157747 + ... + 228346.

It is an arithmetic number, because the mean of its divisors is an integer number (823860247).

Almost surely, 2^13629082900 is an apocalyptic number.

13629082900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13629082900 is an abundant number, since it is smaller than the sum of its proper divisors (16029885992).

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

13629082900 is a wasteful number, since it uses less digits than its factorization.

13629082900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386460 (or 386453 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 13629082900 in words is "thirteen billion, six hundred twenty-nine million, eighty-two thousand, nine hundred".