3605523605856 has 192 divisors, whose sum is σ = 10621662105600. Its totient is φ = 1189785811968.

The previous prime is 3605523605837. The next prime is 3605523605857. The reversal of 3605523605856 is 6585063255063.

3605523605856 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 5 + 23 + 605 + 8 + 5 + 6 = 666.

3605523605856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3605523605857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435077745 + ... + 435086031.

It is an arithmetic number, because the mean of its divisors is an integer number (55321156800).

Almost surely, 2^{3605523605856} is an apocalyptic number.

3605523605856 is a gapful number since it is divisible by the number (36) 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 3605523605856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310831052800).

3605523605856 is an abundant number, since it is smaller than the sum of its proper divisors (7016138499744).

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

3605523605856 is a wasteful number, since it uses less digits than its factorization.

3605523605856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13298 (or 13284 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 3605523605856 in words is "three trillion, six hundred five billion, five hundred twenty-three million, six hundred five thousand, eight hundred fifty-six".