1601633406160 has 20 divisors (see below), whose sum is σ = 3723797669508. Its totient is φ = 640653362432.

The previous prime is 1601633406151. The next prime is 1601633406181. The reversal of 1601633406160 is 616043361061.

It can be written as a sum of positive squares in 2 ways, for example, as 842657905296 + 758975500864 = 917964^2 + 871192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10010208709 + ... + 10010208868.

Almost surely, 2^{1601633406160} is an apocalyptic number.

1601633406160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601633406160 is an abundant number, since it is smaller than the sum of its proper divisors (2122164263348).

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

1601633406160 is a wasteful number, since it uses less digits than its factorization.

1601633406160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20020417590 (or 20020417584 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 1601633406160 in words is "one trillion, six hundred one billion, six hundred thirty-three million, four hundred six thousand, one hundred sixty".