1801138688 has 80 divisors (see below), whose sum is σ = 3816493824. Its totient is φ = 847687680.

The previous prime is 1801138679. The next prime is 1801138711. The reversal of 1801138688 is 8868311081.

It is a super-2 number, since 2×1801138688² = 6488201146820722688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585731 + ... + 588797.

Almost surely, 2^1801138688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1801138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908246912).

1801138688 is an abundant number, since it is smaller than the sum of its proper divisors (2015355136).

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

1801138688 is an equidigital number, since it uses as much as digits as its factorization.

1801138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 44.

The square root of 1801138688 is about 42439.8243163187. The cubic root of 1801138688 is about 1216.6968535785.

The spelling of 1801138688 in words is "one billion, eight hundred one million, one hundred thirty-eight thousand, six hundred eighty-eight".