1847968144 has 45 divisors (see below), whose sum is σ = 3939555361. Its totient is φ = 839125760.

The previous prime is 1847968141. The next prime is 1847968147. The reversal of 1847968144 is 4418697481.

The square root of 1847968144 is 42988.

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

It is an interprime number because it is at equal distance from previous prime (1847968141) and next prime (1847968147).

It can be written as a sum of positive squares in only one way, i.e., 1728896400 + 119071744 = 41580^2 + 10912^2 .

It is a super-2 number, since 2×1847968144² = 6829972522477609472, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1847968091 and 1847968100.

It is not an unprimeable number, because it can be changed into a prime (1847968141) 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, 1890984 + ... + 1891960.

Almost surely, 2^1847968144 is an apocalyptic number.

1847968144 is the 42988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1847968144

1847968144 is an abundant number, since it is smaller than the sum of its proper divisors (2091587217).

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

1847968144 is an frugal number, since it uses more digits than its factorization.

1847968144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 990 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 52.

The cubic root of 1847968144 is about 1227.1514366002.

The spelling of 1847968144 in words is "one billion, eight hundred forty-seven million, nine hundred sixty-eight thousand, one hundred forty-four".