1848142800 has 270 divisors, whose sum is σ = 7461394278. Its totient is φ = 422392320.

The previous prime is 1848142771. The next prime is 1848142801. The reversal of 1848142800 is 82418481.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 262828944 + 1585313856 = 16212^2 + 39816^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1848142801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 171162 + ... + 181638.

Almost surely, 2^1848142800 is an apocalyptic number.

1848142800 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 1848142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730697139).

1848142800 is an abundant number, since it is smaller than the sum of its proper divisors (5613251478).

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

1848142800 is a wasteful number, since it uses less digits than its factorization.

1848142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1848142800 is about 42990.0314026403. The cubic root of 1848142800 is about 1227.1900957460.

The spelling of 1848142800 in words is "one billion, eight hundred forty-eight million, one hundred forty-two thousand, eight hundred".