552443648064 has 336 divisors, whose sum is σ = 1838173209600. Its totient is φ = 143334005760.

The previous prime is 552443648047. The next prime is 552443648123. The reversal of 552443648064 is 460846344255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 552443647998 and 552443648016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253529727 + ... + 253531905.

It is an arithmetic number, because the mean of its divisors is an integer number (5470753600).

Almost surely, 2^552443648064 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 552443648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919086604800).

552443648064 is an abundant number, since it is smaller than the sum of its proper divisors (1285729561536).

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

552443648064 is a wasteful number, since it uses less digits than its factorization.

552443648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 51.

The spelling of 552443648064 in words is "five hundred fifty-two billion, four hundred forty-three million, six hundred forty-eight thousand, sixty-four".