554126082048 has 1088 divisors, whose sum is σ = 2113913088000. Its totient is φ = 142194769920.

The previous prime is 554126082047. The next prime is 554126082071. The reversal of 554126082048 is 840280621455.

554126082048 is a `hidden beast` number, since 5 + 5 + 4 + 12 + 608 + 20 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 554126081994 and 554126082012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554126082043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6676217815 + ... + 6676217897.

Almost surely, 2^554126082048 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 554126082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056956544000).

554126082048 is an abundant number, since it is smaller than the sum of its proper divisors (1559787005952).

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

554126082048 is an frugal number, since it uses more digits than its factorization.

554126082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 554126082048 in words is "five hundred fifty-four billion, one hundred twenty-six million, eighty-two thousand, forty-eight".