554346417408 has 432 divisors, whose sum is σ = 1813078854720. Its totient is φ = 149508882432.

The previous prime is 554346417307. The next prime is 554346417421. The reversal of 554346417408 is 804714643455.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 223796266 + ... + 223798742.

Almost surely, 2^554346417408 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 554346417408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906539427360).

554346417408 is an abundant number, since it is smaller than the sum of its proper divisors (1258732437312).

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

554346417408 is a wasteful number, since it uses less digits than its factorization.

554346417408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 554346417408 in words is "five hundred fifty-four billion, three hundred forty-six million, four hundred seventeen thousand, four hundred eight".