1648123200 has 378 divisors, whose sum is σ = 6121554686. Its totient is φ = 436700160.

The previous prime is 1648123189. The next prime is 1648123241. The reversal of 1648123200 is 23218461.

1648123200 is a `hidden beast` number, since 1 + 648 + 12 + 3 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 34012224 + 1614110976 = 5832^2 + 40176^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 10497522 + ... + 10497678.

Almost surely, 2^1648123200 is an apocalyptic number.

1648123200 is a gapful number since it is divisible by the number (10) 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 1648123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060777343).

1648123200 is an abundant number, since it is smaller than the sum of its proper divisors (4473431486).

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

1648123200 is an frugal number, since it uses more digits than its factorization.

1648123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1648123200 is about 40597.0836390990. The cubic root of 1648123200 is about 1181.2175501290.

The spelling of 1648123200 in words is "one billion, six hundred forty-eight million, one hundred twenty-three thousand, two hundred".