554145664064 has 112 divisors (see below), whose sum is σ = 1143474116400. Its totient is φ = 266253926400.

The previous prime is 554145664013. The next prime is 554145664151. The reversal of 554145664064 is 460466541455.

It can be written as a sum of positive squares in 8 ways, for example, as 199415833600 + 354729830464 = 446560^2 + 595592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62816774 + ... + 62825594.

It is an arithmetic number, because the mean of its divisors is an integer number (10209590325).

Almost surely, 2^554145664064 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 554145664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571737058200).

554145664064 is an abundant number, since it is smaller than the sum of its proper divisors (589328452336).

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

554145664064 is a wasteful number, since it uses less digits than its factorization.

554145664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 9222 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 50.

The spelling of 554145664064 in words is "five hundred fifty-four billion, one hundred forty-five million, six hundred sixty-four thousand, sixty-four".