993063456001 has 16 divisors (see below), whose sum is σ = 1005195901968. Its totient is φ = 980995276800.

The previous prime is 993063455959. The next prime is 993063456017. The reversal of 993063456001 is 100654360399.

993063456001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 79481141776 + 913582314225 = 281924^2 + 955815^2 .

It is a 3-Lehmer number, since φ(993063456001) divides (993063456001-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 993063456001 - 2¹⁹ = 993062931713 is a prime.

It is a deceptive number, since it divides R_993063456000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993063456071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41781961 + ... + 41805721.

It is an arithmetic number, because the mean of its divisors is an integer number (62824743873).

It is a Poulet number, since it divides 2^993063456000-1.

Almost surely, 2^993063456001 is an apocalyptic number.

It is an amenable number.

993063456001 is a deficient number, since it is larger than the sum of its proper divisors (12132445967).

993063456001 is a wasteful number, since it uses less digits than its factorization.

993063456001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25092.

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 993063456001 in words is "nine hundred ninety-three billion, sixty-three million, four hundred fifty-six thousand, one".