1948407886801 has 2 divisors, whose sum is σ = 1948407886802. Its totient is φ = 1948407886800.

The previous prime is 1948407886771. The next prime is 1948407886837. The reversal of 1948407886801 is 1086887048491.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1882592549776 + 65815337025 = 1372076^2 + 256545^2 .

It is an emirp because it is prime and its reverse (1086887048491) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1948407886801 - 2⁹ = 1948407886289 is a prime.

It is not a weakly prime, because it can be changed into another prime (1948407886871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 974203943400 + 974203943401.

It is an arithmetic number, because the mean of its divisors is an integer number (974203943401).

Almost surely, 2^{1948407886801} is an apocalyptic number.

It is an amenable number.

1948407886801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1948407886801 is an equidigital number, since it uses as much as digits as its factorization.

1948407886801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24772608, while the sum is 64.

The spelling of 1948407886801 in words is "one trillion, nine hundred forty-eight billion, four hundred seven million, eight hundred eighty-six thousand, eight hundred one".