3558106741464 has 192 divisors, whose sum is σ = 10595964637440. Its totient is φ = 1069687745280.

The previous prime is 3558106741429. The next prime is 3558106741481. The reversal of 3558106741464 is 4641476018553.

3558106741464 is a `hidden beast` number, since 3 + 5 + 5 + 8 + 106 + 74 + 1 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3558106741464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69148354 + ... + 69199790.

It is an arithmetic number, because the mean of its divisors is an integer number (55187315820).

Almost surely, 2^{3558106741464} 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 3558106741464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297982318720).

3558106741464 is an abundant number, since it is smaller than the sum of its proper divisors (7037857895976).

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

3558106741464 is a wasteful number, since it uses less digits than its factorization.

3558106741464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52150 (or 52143 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 3558106741464 in words is "three trillion, five hundred fifty-eight billion, one hundred six million, seven hundred forty-one thousand, four hundred sixty-four".