554981868672 has 512 divisors, whose sum is σ = 1931060736000. Its totient is φ = 136933294080.

The previous prime is 554981868671. The next prime is 554981868673. The reversal of 554981868672 is 276868189455.

It is an interprime number because it is at equal distance from previous prime (554981868671) and next prime (554981868673).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 554981868597 and 554981868606.

It is not an unprimeable number, because it can be changed into a prime (554981868671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101326798 + ... + 101332274.

It is an arithmetic number, because the mean of its divisors is an integer number (3771603000).

Almost surely, 2^554981868672 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 554981868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965530368000).

554981868672 is an abundant number, since it is smaller than the sum of its proper divisors (1376078867328).

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

554981868672 is a wasteful number, since it uses less digits than its factorization.

554981868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 5672 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 69.

The spelling of 554981868672 in words is "five hundred fifty-four billion, nine hundred eighty-one million, eight hundred sixty-eight thousand, six hundred seventy-two".