553218461424 has 120 divisors (see below), whose sum is σ = 1569892586912. Its totient is φ = 181829007360.

The previous prime is 553218461423. The next prime is 553218461447. The reversal of 553218461424 is 424164812355.

553218461424 is a `hidden beast` number, since 5 + 5 + 3 + 2 + 1 + 8 + 4 + 614 + 24 = 666.

It is a super-2 number, since 2×553218461424² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 553218461424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553218461423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63141204 + ... + 63149964.

Almost surely, 2^553218461424 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 553218461424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784946293456).

553218461424 is an abundant number, since it is smaller than the sum of its proper divisors (1016674125488).

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

553218461424 is a wasteful number, since it uses less digits than its factorization.

553218461424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14855 (or 14846 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 553218461424 in words is "five hundred fifty-three billion, two hundred eighteen million, four hundred sixty-one thousand, four hundred twenty-four".