1983379542144 has 1536 divisors, whose sum is σ = 7741970772480. Its totient is φ = 435997900800.

The previous prime is 1983379542143. The next prime is 1983379542173. The reversal of 1983379542144 is 4412459733891.

It is not an unprimeable number, because it can be changed into a prime (1983379542143) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2947071792 + ... + 2947072464.

It is an arithmetic number, because the mean of its divisors is an integer number (5040345555).

Almost surely, 2^{1983379542144} is an apocalyptic number.

1983379542144 is a gapful number since it is divisible by the number (14) 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 1983379542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870985386240).

1983379542144 is an abundant number, since it is smaller than the sum of its proper divisors (5758591230336).

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

1983379542144 is a wasteful number, since it uses less digits than its factorization.

1983379542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 767 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 1983379542144 in words is "one trillion, nine hundred eighty-three billion, three hundred seventy-nine million, five hundred forty-two thousand, one hundred forty-four".