48467876806001 has 2 divisors, whose sum is σ = 48467876806002. Its totient is φ = 48467876806000.

The previous prime is 48467876805989. The next prime is 48467876806021. The reversal of 48467876806001 is 10060867876484.

48467876806001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31075440466225 + 17392436339776 = 5574535^2 + 4170424^2 .

It is a cyclic number.

It is not a de Polignac number, because 48467876806001 - 2³⁰ = 48466803064177 is a prime.

It is a super-2 number, since 2×48467876806001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (48467876806021) 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 as a sum of consecutive naturals, namely, 24233938403000 + 24233938403001.

It is an arithmetic number, because the mean of its divisors is an integer number (24233938403001).

Almost surely, 2^{48467876806001} is an apocalyptic number.

It is an amenable number.

48467876806001 is a deficient number, since it is larger than the sum of its proper divisors (1).

48467876806001 is an equidigital number, since it uses as much as digits as its factorization.

48467876806001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86704128, while the sum is 65.

The spelling of 48467876806001 in words is "forty-eight trillion, four hundred sixty-seven billion, eight hundred seventy-six million, eight hundred six thousand, one".