1604191985892 has 120 divisors (see below), whose sum is σ = 4209360002232. Its totient is φ = 532733760000.

The previous prime is 1604191985861. The next prime is 1604191985917. The reversal of 1604191985892 is 2985891914061.

1604191985892 is a `hidden beast` number, since 1 + 6 + 0 + 41 + 9 + 1 + 9 + 8 + 589 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22573860516 + 1581618125376 = 150246^2 + 1257624^2 .

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, 123383392 + ... + 123396392.

Almost surely, 2^{1604191985892} is an apocalyptic number.

1604191985892 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 1604191985892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104680001116).

1604191985892 is an abundant number, since it is smaller than the sum of its proper divisors (2605168016340).

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

1604191985892 is a wasteful number, since it uses less digits than its factorization.

1604191985892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14411 (or 14400 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 1604191985892 in words is "one trillion, six hundred four billion, one hundred ninety-one million, nine hundred eighty-five thousand, eight hundred ninety-two".