1143091588900 has 72 divisors (see below), whose sum is σ = 2740613339520. Its totient is φ = 411629898240.

The previous prime is 1143091588867. The next prime is 1143091588901. The reversal of 1143091588900 is 98851903411.

It is a super-3 number, since 3×1143091588900³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1143091588901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14578440 + ... + 14656639.

It is an arithmetic number, because the mean of its divisors is an integer number (38064074160).

Almost surely, 2^{1143091588900} is an apocalyptic number.

1143091588900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1143091588900 is an abundant number, since it is smaller than the sum of its proper divisors (1597521750620).

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

1143091588900 is a wasteful number, since it uses less digits than its factorization.

1143091588900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29235133 (or 29235126 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 49.

The spelling of 1143091588900 in words is "one trillion, one hundred forty-three billion, ninety-one million, five hundred eighty-eight thousand, nine hundred".