648806400001 has 8 divisors (see below), whose sum is σ = 687808246824. Its totient is φ = 609897527040.

The previous prime is 648806399993. The next prime is 648806400023. The reversal of 648806400001 is 100004608846.

It can be written as a sum of positive squares in 4 ways, for example, as 112724705025 + 536081694976 = 335745^2 + 732176^2 .

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

It is not a de Polignac number, because 648806400001 - 2³ = 648806399993 is a prime.

It is a super-2 number, since 2×648806400001² (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 (648806400031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23229090 + ... + 23257003.

It is an arithmetic number, because the mean of its divisors is an integer number (85976030853).

It is a Proth number, since it is equal to 309375 ⋅ 2²¹ + 1 and 309375 < 2²¹.

Almost surely, 2^648806400001 is an apocalyptic number.

It is an amenable number.

648806400001 is a deficient number, since it is larger than the sum of its proper divisors (39001846823).

648806400001 is a wasteful number, since it uses less digits than its factorization.

648806400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46486931.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 648806400001 in words is "six hundred forty-eight billion, eight hundred six million, four hundred thousand, one".