1143310986720 has 576 divisors, whose sum is σ = 4667518598400. Its totient is φ = 260620416000.

The previous prime is 1143310986673. The next prime is 1143310986767. The reversal of 1143310986720 is 276890133411.

1143310986720 is a `hidden beast` number, since 11 + 433 + 109 + 86 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1143310986673) and next prime (1143310986767).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 80219595 + ... + 80233845.

It is an arithmetic number, because the mean of its divisors is an integer number (8103330900).

Almost surely, 2^{1143310986720} is an apocalyptic number.

1143310986720 is a gapful number since it is divisible by the number (10) 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 1143310986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333759299200).

1143310986720 is an abundant number, since it is smaller than the sum of its proper divisors (3524207611680).

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

1143310986720 is a wasteful number, since it uses less digits than its factorization.

1143310986720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14668 (or 14647 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1143310986720 in words is "one trillion, one hundred forty-three billion, three hundred ten million, nine hundred eighty-six thousand, seven hundred twenty".