1605464600352 has 96 divisors (see below), whose sum is σ = 4369127273280. Its totient is φ = 515580011520.

The previous prime is 1605464600297. The next prime is 1605464600423. The reversal of 1605464600352 is 2530064645061.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657963 + ... + 1908885.

It is an arithmetic number, because the mean of its divisors is an integer number (45511742430).

Almost surely, 2^{1605464600352} is an apocalyptic number.

1605464600352 is a gapful number since it is divisible by the number (12) 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 1605464600352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184563636640).

1605464600352 is an abundant number, since it is smaller than the sum of its proper divisors (2763662672928).

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

1605464600352 is a wasteful number, since it uses less digits than its factorization.

1605464600352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251426 (or 1251418 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 1605464600352 in words is "one trillion, six hundred five billion, four hundred sixty-four million, six hundred thousand, three hundred fifty-two".