144105202000552 has 64 divisors (see below), whose sum is σ = 295435604983680. Its totient is φ = 65492793983232.

The previous prime is 144105202000547. The next prime is 144105202000579. The reversal of 144105202000552 is 255000202501441.

It is a super-2 number, since 2×144105202000552² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14672758 + ... + 22438810.

It is an arithmetic number, because the mean of its divisors is an integer number (4616181327870).

Almost surely, 2^{144105202000552} 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 144105202000552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147717802491840).

144105202000552 is an abundant number, since it is smaller than the sum of its proper divisors (151330402983128).

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

144105202000552 is a wasteful number, since it uses less digits than its factorization.

144105202000552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7768802 (or 7768798 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

Adding to 144105202000552 its reverse (255000202501441), we get a palindrome (399105404501993).

The spelling of 144105202000552 in words is "one hundred forty-four trillion, one hundred five billion, two hundred two million, five hundred fifty-two", and thus it is an aban number.