1831041985600 has 63 divisors (see below), whose sum is σ = 4505640874527. Its totient is φ = 732395143680.

The previous prime is 1831041985583. The next prime is 1831041985609. The reversal of 1831041985600 is 65891401381.

The square root of 1831041985600 is 1353160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15749246016 + 1815292739584 = 125496^2 + 1347328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1831041985609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54109486 + ... + 54143314.

Almost surely, 2^{1831041985600} is an apocalyptic number.

1831041985600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1831041985600 is the 1353160-th square number.

It is an amenable number.

1831041985600 is an abundant number, since it is smaller than the sum of its proper divisors (2674598888927).

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

1831041985600 is an frugal number, since it uses more digits than its factorization.

1831041985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67680 (or 33836 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 1831041985600 in words is "one trillion, eight hundred thirty-one billion, forty-one million, nine hundred eighty-five thousand, six hundred".