1082723491600 has 45 divisors (see below), whose sum is σ = 2601293187477. Its totient is φ = 433081072320.

The previous prime is 1082723491579. The next prime is 1082723491607. The reversal of 1082723491600 is 61943272801.

The square root of 1082723491600 is 1040540.

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

It can be written as a sum of positive squares in only one way, i.e., 389780456976 + 692943034624 = 624324^2 + 832432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1082723491607) 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, 20784787 + ... + 20836813.

Almost surely, 2^{1082723491600} is an apocalyptic number.

1082723491600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1082723491600 is the 1040540-th square number.

It is an amenable number.

1082723491600 is an abundant number, since it is smaller than the sum of its proper divisors (1518569695877).

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

1082723491600 is an frugal number, since it uses more digits than its factorization.

1082723491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104072 (or 52034 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 1082723491600 in words is "one trillion, eighty-two billion, seven hundred twenty-three million, four hundred ninety-one thousand, six hundred".