557746560001 has 8 divisors (see below), whose sum is σ = 558180628200. Its totient is φ = 557312665728.

The previous prime is 557746559999. The next prime is 557746560013. The reversal of 557746560001 is 100065647755.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15314310001 + 542432250000 = 123751^2 + 736500^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 557746560001 - 2¹ = 557746559999 is a prime.

It is a super-2 number, since 2×557746560001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (557746560401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6782805 + ... + 6864541.

It is an arithmetic number, because the mean of its divisors is an integer number (69772578525).

Almost surely, 2^557746560001 is an apocalyptic number.

It is an amenable number.

557746560001 is a deficient number, since it is larger than the sum of its proper divisors (434068199).

557746560001 is a wasteful number, since it uses less digits than its factorization.

557746560001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86963.

The product of its (nonzero) digits is 882000, while the sum is 46.

The spelling of 557746560001 in words is "five hundred fifty-seven billion, seven hundred forty-six million, five hundred sixty thousand, one".