1983184961536 has 51 divisors (see below), whose sum is σ = 3967060814713. Its totient is φ = 991412224000.

The previous prime is 1983184961509. The next prime is 1983184961539. The reversal of 1983184961536 is 6351694813891.

The square root of 1983184961536 is 1408256.

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

It can be written as a sum of positive squares in only one way, i.e., 1947297447936 + 35887513600 = 1395456^2 + 189440^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1983184961539) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 360510786 + ... + 360516286.

Almost surely, 2^{1983184961536} is an apocalyptic number.

1983184961536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1983184961536 is the 1408256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1983184961536

1983184961536 is an abundant number, since it is smaller than the sum of its proper divisors (1983875853177).

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

1983184961536 is an frugal number, since it uses more digits than its factorization.

1983184961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11034 (or 5503 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 64.

Multiplying 1983184961536 by its sum of digits (64), we get a square (126923837538304 = 11266048²).

1983184961536 divided by its sum of digits (64) gives a square (30987265024 = 176032²).

The spelling of 1983184961536 in words is "one trillion, nine hundred eighty-three billion, one hundred eighty-four million, nine hundred sixty-one thousand, five hundred thirty-six".