552945469440 has 768 divisors, whose sum is σ = 2194427289600. Its totient is φ = 115744702464.

The previous prime is 552945469361. The next prime is 552945469457. The reversal of 552945469440 is 44964549255.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 388576569 + ... + 388577991.

It is an arithmetic number, because the mean of its divisors is an integer number (2857327200).

Almost surely, 2^552945469440 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 552945469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097213644800).

552945469440 is an abundant number, since it is smaller than the sum of its proper divisors (1641481820160).

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

552945469440 is a wasteful number, since it uses less digits than its factorization.

552945469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 57.

The spelling of 552945469440 in words is "five hundred fifty-two billion, nine hundred forty-five million, four hundred sixty-nine thousand, four hundred forty".