552819481344 has 1296 divisors, whose sum is σ = 1964447765280. Its totient is φ = 148264058880.

The previous prime is 552819481343. The next prime is 552819481399. The reversal of 552819481344 is 443184918255.

552819481344 is a `hidden beast` number, since 5 + 52 + 81 + 9 + 481 + 34 + 4 = 666.

Its product of digits (5529600) is a multiple of the sum of its prime divisors (150).

It is not an unprimeable number, because it can be changed into a prime (552819481343) 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 143 ways as a sum of consecutive naturals, for example, 12856266987 + ... + 12856267029.

Almost surely, 2^552819481344 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 552819481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982223882640).

552819481344 is an abundant number, since it is smaller than the sum of its proper divisors (1411628283936).

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

552819481344 is a wasteful number, since it uses less digits than its factorization.

552819481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 150 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 552819481344 in words is "five hundred fifty-two billion, eight hundred nineteen million, four hundred eighty-one thousand, three hundred forty-four".