1983249864 has 24 divisors (see below), whose sum is σ = 5371301910. Its totient is φ = 661083264.

The previous prime is 1983249857. The next prime is 1983249889. The reversal of 1983249864 is 4689423891.

1983249864 is a `hidden beast` number, since 1 + 98 + 3 + 2 + 498 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1963376100 + 19873764 = 44310^2 + 4458^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1983249864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13772497 + ... + 13772640.

Almost surely, 2^1983249864 is an apocalyptic number.

It is an amenable number.

1983249864 is an abundant number, since it is smaller than the sum of its proper divisors (3388052046).

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

1983249864 is a wasteful number, since it uses less digits than its factorization.

1983249864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27545149 (or 27545142 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 1983249864 is about 44533.6935813772. The cubic root of 1983249864 is about 1256.3938765636.

It can be divided in two parts, 19832 and 49864, that added together give a palindrome (69696).

The spelling of 1983249864 in words is "one billion, nine hundred eighty-three million, two hundred forty-nine thousand, eight hundred sixty-four".