48584976401 has 8 divisors (see below), whose sum is σ = 52550767080. Its totient is φ = 44651826432.

The previous prime is 48584976329. The next prime is 48584976409. The reversal of 48584976401 is 10467948584.

It is a happy number.

It is a Cunningham number, because it is equal to 220420²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 7186970176 + 41398006225 = 84776^2 + 203465^2 .

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 48584976401 - 2¹⁰ = 48584975377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48584976409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8157080 + ... + 8163033.

It is an arithmetic number, because the mean of its divisors is an integer number (6568845885).

Almost surely, 2^48584976401 is an apocalyptic number.

It is an amenable number.

48584976401 is a deficient number, since it is larger than the sum of its proper divisors (3965790679).

48584976401 is a wasteful number, since it uses less digits than its factorization.

48584976401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16320355.

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 48584976401 in words is "forty-eight billion, five hundred eighty-four million, nine hundred seventy-six thousand, four hundred one".