3605553145152 has 1512 divisors, whose sum is σ = 13746277247040. Its totient is φ = 931179110400.

The previous prime is 3605553145151. The next prime is 3605553145219. The reversal of 3605553145152 is 2515413555063.

3605553145152 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 553 + 1 + 45 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×3605553145152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3605553145098 and 3605553145107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3605553145151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8991404152 + ... + 8991404552.

Almost surely, 2^{3605553145152} is an apocalyptic number.

3605553145152 is a gapful number since it is divisible by the number (32) 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 3605553145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873138623520).

3605553145152 is an abundant number, since it is smaller than the sum of its proper divisors (10140724101888).

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

3605553145152 is an equidigital number, since it uses as much as digits as its factorization.

3605553145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 3605553145152 in words is "three trillion, six hundred five billion, five hundred fifty-three million, one hundred forty-five thousand, one hundred fifty-two".