13645673424 has 200 divisors, whose sum is σ = 41925707208. Its totient is φ = 4269957120.

The previous prime is 13645673413. The next prime is 13645673467. The reversal of 13645673424 is 42437654631.

13645673424 is a `hidden beast` number, since 1 + 3 + 64 + 567 + 3 + 4 + 24 = 666.

13645673424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2275290000 + 11370383424 = 47700^2 + 106632^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (1620).

It is a self number, because there is not a number n which added to its sum of digits gives 13645673424.

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 39 ways as a sum of consecutive naturals, for example, 14562684 + ... + 14563620.

Almost surely, 2^13645673424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13645673424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20962853604).

13645673424 is an abundant number, since it is smaller than the sum of its proper divisors (28280033784).

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

13645673424 is a wasteful number, since it uses less digits than its factorization.

13645673424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1620 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 13645673424 in words is "thirteen billion, six hundred forty-five million, six hundred seventy-three thousand, four hundred twenty-four".