48668203587601 has 32 divisors (see below), whose sum is σ = 55583735645088. Its totient is φ = 42214258114560.

The previous prime is 48668203587589. The next prime is 48668203587649. The reversal of 48668203587601 is 10678530286684.

It is a happy number.

It is a Cunningham number, because it is equal to 6976260²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 10777727873025 + 37890475714576 = 3282945^2 + 6155524^2 .

It is a cyclic number.

It is not a de Polignac number, because 48668203587601 - 2²³ = 48668195198993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48668203581601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2132968545 + ... + 2132991361.

It is an arithmetic number, because the mean of its divisors is an integer number (1736991738909).

Almost surely, 2^{48668203587601} is an apocalyptic number.

It is an amenable number.

48668203587601 is a deficient number, since it is larger than the sum of its proper divisors (6915532057487).

48668203587601 is a wasteful number, since it uses less digits than its factorization.

48668203587601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37861.

The product of its (nonzero) digits is 92897280, while the sum is 64.

The spelling of 48668203587601 in words is "forty-eight trillion, six hundred sixty-eight billion, two hundred three million, five hundred eighty-seven thousand, six hundred one".