1143545819584 has 112 divisors (see below), whose sum is σ = 2767575416832. Its totient is φ = 457629806592.

The previous prime is 1143545819509. The next prime is 1143545819587. The reversal of 1143545819584 is 4859185453411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143545819587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376089 + ... + 1558375.

Almost surely, 2^{1143545819584} is an apocalyptic number.

1143545819584 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 1143545819584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383787708416).

1143545819584 is an abundant number, since it is smaller than the sum of its proper divisors (1624029597248).

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

1143545819584 is a wasteful number, since it uses less digits than its factorization.

1143545819584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182450 (or 1182440 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 58.

The spelling of 1143545819584 in words is "one trillion, one hundred forty-three billion, five hundred forty-five million, eight hundred nineteen thousand, five hundred eighty-four".