554113018368 has 1280 divisors, whose sum is σ = 2155862016000. Its totient is φ = 136447524864.

The previous prime is 554113018363. The next prime is 554113018471. The reversal of 554113018368 is 863810311455.

554113018368 is a `hidden beast` number, since 5 + 541 + 1 + 30 + 18 + 3 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (554113018363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2318464393 + ... + 2318464631.

It is an arithmetic number, because the mean of its divisors is an integer number (1684267200).

Almost surely, 2^554113018368 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 554113018368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077931008000).

554113018368 is an abundant number, since it is smaller than the sum of its proper divisors (1601748997632).

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

554113018368 is a wasteful number, since it uses less digits than its factorization.

554113018368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 554113018368 in words is "five hundred fifty-four billion, one hundred thirteen million, eighteen thousand, three hundred sixty-eight".