552564450336 has 96 divisors (see below), whose sum is σ = 1470753885888. Its totient is φ = 181615288320.

The previous prime is 552564450313. The next prime is 552564450353. The reversal of 552564450336 is 633054465255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32627791 + ... + 32644721.

It is an arithmetic number, because the mean of its divisors is an integer number (15320352978).

Almost surely, 2^552564450336 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 552564450336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735376942944).

552564450336 is an abundant number, since it is smaller than the sum of its proper divisors (918189435552).

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

552564450336 is a wasteful number, since it uses less digits than its factorization.

552564450336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21674 (or 21666 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 552564450336 in words is "five hundred fifty-two billion, five hundred sixty-four million, four hundred fifty thousand, three hundred thirty-six".