1809735229696 has 81 divisors (see below), whose sum is σ = 3660061547149. Its totient is φ = 893083102208.

The previous prime is 1809735229693. The next prime is 1809735229703. The reversal of 1809735229696 is 6969225379081.

The square root of 1809735229696 is 1345264.

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., 3571257600 + 1806163972096 = 59760^2 + 1343936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1809735229693) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1786510086 + ... + 1786511098.

Almost surely, 2^{1809735229696} is an apocalyptic number.

1809735229696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1809735229696 is the 1345264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1809735229696

1809735229696 is an abundant number, since it is smaller than the sum of its proper divisors (1850326317453).

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

1809735229696 is an frugal number, since it uses more digits than its factorization.

1809735229696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 67.

The spelling of 1809735229696 in words is "one trillion, eight hundred nine billion, seven hundred thirty-five million, two hundred twenty-nine thousand, six hundred ninety-six".