13645990425600 has 3168 divisors, whose sum is σ = 58673499655680. Its totient is φ = 3114500751360.

The previous prime is 13645990425577. The next prime is 13645990425637. The reversal of 13645990425600 is 652409954631.

13645990425600 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 5 + 9 + 9 + 0 + 4 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 127532620747 + ... + 127532620853.

Almost surely, 2^{13645990425600} is an apocalyptic number.

13645990425600 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 13645990425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29336749827840).

13645990425600 is an abundant number, since it is smaller than the sum of its proper divisors (45027509230080).

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

13645990425600 is a wasteful number, since it uses less digits than its factorization.

13645990425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 13645990425600 in words is "thirteen trillion, six hundred forty-five billion, nine hundred ninety million, four hundred twenty-five thousand, six hundred".