1143138886656 has 264 divisors, whose sum is σ = 3308476032000. Its totient is φ = 350755651584.

The previous prime is 1143138886651. The next prime is 1143138886661. The reversal of 1143138886656 is 6566888313411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1143138886651) and next prime (1143138886661).

It is a self number, because there is not a number n which added to its sum of digits gives 1143138886656.

It is not an unprimeable number, because it can be changed into a prime (1143138886651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198838470 + ... + 198844218.

Almost surely, 2^{1143138886656} is an apocalyptic number.

1143138886656 is a gapful number since it is divisible by the number (16) 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 1143138886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654238016000).

1143138886656 is an abundant number, since it is smaller than the sum of its proper divisors (2165337145344).

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

1143138886656 is a wasteful number, since it uses less digits than its factorization.

1143138886656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181 (or 6150 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The spelling of 1143138886656 in words is "one trillion, one hundred forty-three billion, one hundred thirty-eight million, eight hundred eighty-six thousand, six hundred fifty-six".