1143109811264 has 56 divisors (see below), whose sum is σ = 2324718777528. Its totient is φ = 557366312960.

The previous prime is 1143109811177. The next prime is 1143109811269. The reversal of 1143109811264 is 4621189013411.

It can be written as a sum of positive squares in 4 ways, for example, as 239864857600 + 903244953664 = 489760^2 + 950392^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (1143109811269) 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 7 ways as a sum of consecutive naturals, for example, 5868524 + ... + 6060180.

It is an arithmetic number, because the mean of its divisors is an integer number (41512835313).

Almost surely, 2^{1143109811264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143109811264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162359388764).

1143109811264 is an abundant number, since it is smaller than the sum of its proper divisors (1181608966264).

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

1143109811264 is a wasteful number, since it uses less digits than its factorization.

1143109811264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193983 (or 193973 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 1143109811264 in words is "one trillion, one hundred forty-three billion, one hundred nine million, eight hundred eleven thousand, two hundred sixty-four".