13656421616500 has 144 divisors (see below), whose sum is σ = 32320183699440. Its totient is φ = 5038655731200.

The previous prime is 13656421616471. The next prime is 13656421616543. The reversal of 13656421616500 is 561612465631.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 13573815958756 + 82605657744 = 3684266^2 + 287412^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115959646 + ... + 116077354.

It is an arithmetic number, because the mean of its divisors is an integer number (224445720135).

Almost surely, 2^{13656421616500} is an apocalyptic number.

13656421616500 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 13656421616500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160091849720).

13656421616500 is an abundant number, since it is smaller than the sum of its proper divisors (18663762082940).

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

13656421616500 is a wasteful number, since it uses less digits than its factorization.

13656421616500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119127 (or 119102 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 13656421616500 in words is "thirteen trillion, six hundred fifty-six billion, four hundred twenty-one million, six hundred sixteen thousand, five hundred".