552463801344 has 1584 divisors, whose sum is σ = 2186471116800. Its totient is φ = 136949170176.

The previous prime is 552463801313. The next prime is 552463801391. The reversal of 552463801344 is 443108364255.

552463801344 is a `hidden beast` number, since 5 + 5 + 2 + 4 + 638 + 0 + 1 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 552463801344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4350108609 + ... + 4350108735.

Almost surely, 2^552463801344 is an apocalyptic number.

552463801344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552463801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093235558400).

552463801344 is an abundant number, since it is smaller than the sum of its proper divisors (1634007315456).

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

552463801344 is a wasteful number, since it uses less digits than its factorization.

552463801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 552463801344 in words is "five hundred fifty-two billion, four hundred sixty-three million, eight hundred one thousand, three hundred forty-four".