552305034144 has 144 divisors (see below), whose sum is σ = 1623461059584. Its totient is φ = 177923520000.

The previous prime is 552305034139. The next prime is 552305034233. The reversal of 552305034144 is 441430503255.

552305034144 is a `hidden beast` number, since 5 + 5 + 2 + 3 + 0 + 503 + 4 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 552305034099 and 552305034108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6663742 + ... + 6746114.

It is an arithmetic number, because the mean of its divisors is an integer number (11274035136).

Almost surely, 2^552305034144 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 552305034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811730529792).

552305034144 is an abundant number, since it is smaller than the sum of its proper divisors (1071156025440).

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

552305034144 is a wasteful number, since it uses less digits than its factorization.

552305034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83171 (or 83160 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 552305034144 its reverse (441430503255), we get a palindrome (993735537399).

The spelling of 552305034144 in words is "five hundred fifty-two billion, three hundred five million, thirty-four thousand, one hundred forty-four".