1898481312 has 288 divisors, whose sum is σ = 6716691072. Its totient is φ = 495286272.

The previous prime is 1898481301. The next prime is 1898481313. The reversal of 1898481312 is 2131848981.

1898481312 is a `hidden beast` number, since 189 + 84 + 81 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1898481313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2803918 + ... + 2804594.

It is an arithmetic number, because the mean of its divisors is an integer number (23321844).

Almost surely, 2^1898481312 is an apocalyptic number.

1898481312 is a gapful number since it is divisible by the number (12) 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 1898481312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358345536).

1898481312 is an abundant number, since it is smaller than the sum of its proper divisors (4818209760).

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

1898481312 is a wasteful number, since it uses less digits than its factorization.

1898481312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 809 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 1898481312 is about 43571.5654068109. The cubic root of 1898481312 is about 1238.2322434663.

The spelling of 1898481312 in words is "one billion, eight hundred ninety-eight million, four hundred eighty-one thousand, three hundred twelve".