13621633401600 has 3240 divisors, whose sum is σ = 60964500366000. Its totient is φ = 2990363443200.

The previous prime is 13621633401583. The next prime is 13621633401613. The reversal of 13621633401600 is 610433612631.

13621633401600 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 1 + 6 + 3 + 3 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 359 ways as a sum of consecutive naturals, for example, 91420358326 + ... + 91420358474.

Almost surely, 2^{13621633401600} is an apocalyptic number.

13621633401600 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 13621633401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30482250183000).

13621633401600 is an abundant number, since it is smaller than the sum of its proper divisors (47342866964400).

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

13621633401600 is a wasteful number, since it uses less digits than its factorization.

13621633401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13621633401600 in words is "thirteen trillion, six hundred twenty-one billion, six hundred thirty-three million, four hundred one thousand, six hundred".