1832661322656 has 96 divisors (see below), whose sum is σ = 5022010627200. Its totient is φ = 584080932864.

The previous prime is 1832661322627. The next prime is 1832661322697. The reversal of 1832661322656 is 6562231662381.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1832661322599 and 1832661322608.

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 15 ways as a sum of consecutive naturals, for example, 5110320 + ... + 5457168.

It is an arithmetic number, because the mean of its divisors is an integer number (52312610700).

Almost surely, 2^{1832661322656} is an apocalyptic number.

1832661322656 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 1832661322656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511005313600).

1832661322656 is an abundant number, since it is smaller than the sum of its proper divisors (3189349304544).

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

1832661322656 is a wasteful number, since it uses less digits than its factorization.

1832661322656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349278 (or 349270 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The spelling of 1832661322656 in words is "one trillion, eight hundred thirty-two billion, six hundred sixty-one million, three hundred twenty-two thousand, six hundred fifty-six".