553816424448 has 720 divisors, whose sum is σ = 1981253102400. Its totient is φ = 151353556992.

The previous prime is 553816424437. The next prime is 553816424449. The reversal of 553816424448 is 844424618355.

553816424448 is a `hidden beast` number, since 5 + 5 + 38 + 164 + 2 + 4 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 553816424394 and 553816424403.

It is not an unprimeable number, because it can be changed into a prime (553816424449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24078974965 + ... + 24078974987.

It is an arithmetic number, because the mean of its divisors is an integer number (2751740420).

Almost surely, 2^553816424448 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 553816424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990626551200).

553816424448 is an abundant number, since it is smaller than the sum of its proper divisors (1427436677952).

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

553816424448 is an frugal number, since it uses more digits than its factorization.

553816424448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 35 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 553816424448 in words is "five hundred fifty-three billion, eight hundred sixteen million, four hundred twenty-four thousand, four hundred forty-eight".