1641135056 has 80 divisors (see below), whose sum is σ = 3616107840. Its totient is φ = 714685440.

The previous prime is 1641135029. The next prime is 1641135073. The reversal of 1641135056 is 6505311461.

It is a congruent number.

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, 698075 + ... + 700421.

It is an arithmetic number, because the mean of its divisors is an integer number (45201348).

Almost surely, 2^1641135056 is an apocalyptic number.

1641135056 is a gapful number since it is divisible by the number (16) 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 1641135056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808053920).

1641135056 is an abundant number, since it is smaller than the sum of its proper divisors (1974972784).

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

1641135056 is a wasteful number, since it uses less digits than its factorization.

1641135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 1641135056 is about 40510.9251437189. The cubic root of 1641135056 is about 1179.5457065737.

The spelling of 1641135056 in words is "one billion, six hundred forty-one million, one hundred thirty-five thousand, fifty-six".