48174181018001 has 2 divisors, whose sum is σ = 48174181018002. Its totient is φ = 48174181018000.

The previous prime is 48174181017953. The next prime is 48174181018003. The reversal of 48174181018001 is 10081018147184.

48174181018001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35459928870976 + 12714252147025 = 5954824^2 + 3565705^2 .

It is a cyclic number.

It is not a de Polignac number, because 48174181018001 - 2³⁸ = 47899303111057 is a prime.

Together with 48174181018003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (48174181018003) 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, 24087090509000 + 24087090509001.

It is an arithmetic number, because the mean of its divisors is an integer number (24087090509001).

Almost surely, 2^{48174181018001} is an apocalyptic number.

It is an amenable number.

48174181018001 is a deficient number, since it is larger than the sum of its proper divisors (1).

48174181018001 is an equidigital number, since it uses as much as digits as its factorization.

48174181018001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57344, while the sum is 44.

The spelling of 48174181018001 in words is "forty-eight trillion, one hundred seventy-four billion, one hundred eighty-one million, eighteen thousand, one".