1815723910144 has 99 divisors (see below), whose sum is σ = 3857301601003. Its totient is φ = 854113353728.

The previous prime is 1815723910097. The next prime is 1815723910171. The reversal of 1815723910144 is 4410193275181.

The square root of 1815723910144 is 1347488.

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 155955487744 + 1659768422400 = 394912^2 + 1288320^2 .

It is a super-2 number, since 2×1815723910144² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1815723910094 and 1815723910103.

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 8 ways as a sum of consecutive naturals, for example, 733032234 + ... + 733034710.

Almost surely, 2^{1815723910144} is an apocalyptic number.

1815723910144 is the 1347488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1815723910144

1815723910144 is an abundant number, since it is smaller than the sum of its proper divisors (2041577690859).

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

1815723910144 is an frugal number, since it uses more digits than its factorization.

1815723910144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 1815723910144 in words is "one trillion, eight hundred fifteen billion, seven hundred twenty-three million, nine hundred ten thousand, one hundred forty-four".