355687428096001 has 8 divisors (see below), whose sum is σ = 356226551466344. Its totient is φ = 355148307803520.

The previous prime is 355687428095941. The next prime is 355687428096031. The reversal of 355687428096001 is 100690824786553.

It can be written as a sum of positive squares in 4 ways, for example, as 213503267286001 + 142184160810000 = 14611751^2 + 11924100^2 .

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 355687428096001 - 2³⁵ = 355653068357633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (355687428096031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 355060315 + ... + 356060671.

It is an arithmetic number, because the mean of its divisors is an integer number (44528318933293).

It is a 2-persistent number, because it is pandigital, and so is 2⋅355687428096001 = 711374856192002, but 3⋅355687428096001 = 1067062284288003 is not.

Almost surely, 2^{355687428096001} is an apocalyptic number.

It is an amenable number.

355687428096001 is a deficient number, since it is larger than the sum of its proper divisors (539123370343).

355687428096001 is a wasteful number, since it uses less digits than its factorization.

355687428096001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538931.

The product of its (nonzero) digits is 87091200, while the sum is 64.

The spelling of 355687428096001 in words is "three hundred fifty-five trillion, six hundred eighty-seven billion, four hundred twenty-eight million, ninety-six thousand, one".