1144153335006 has 144 divisors (see below), whose sum is σ = 2749292582400. Its totient is φ = 343609136640.

The previous prime is 1144153334981. The next prime is 1144153335011. The reversal of 1144153335006 is 6005333514411.

1144153335006 is a `hidden beast` number, since 1 + 144 + 1 + 5 + 3 + 3 + 3 + 500 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 356543530 + ... + 356546738.

It is an arithmetic number, because the mean of its divisors is an integer number (19092309600).

Almost surely, 2^{1144153335006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144153335006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374646291200).

1144153335006 is an abundant number, since it is smaller than the sum of its proper divisors (1605139247394).

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

1144153335006 is a wasteful number, since it uses less digits than its factorization.

1144153335006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 1144153335006 its reverse (6005333514411), we get a palindrome (7149486849417).

The spelling of 1144153335006 in words is "one trillion, one hundred forty-four billion, one hundred fifty-three million, three hundred thirty-five thousand, six".