552066582144 has 1024 divisors, whose sum is σ = 2030469120000. Its totient is φ = 128507904000.

The previous prime is 552066582121. The next prime is 552066582167. The reversal of 552066582144 is 441285660255.

It is an interprime number because it is at equal distance from previous prime (552066582121) and next prime (552066582167).

It is a super-2 number, since 2×552066582144² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 552066582093 and 552066582102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1106345607 + ... + 1106346105.

It is an arithmetic number, because the mean of its divisors is an integer number (1982880000).

Almost surely, 2^552066582144 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 552066582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015234560000).

552066582144 is an abundant number, since it is smaller than the sum of its proper divisors (1478402537856).

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

552066582144 is a wasteful number, since it uses less digits than its factorization.

552066582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 552066582144 in words is "five hundred fifty-two billion, sixty-six million, five hundred eighty-two thousand, one hundred forty-four".