1948896191 has 16 divisors (see below), whose sum is σ = 2245259520. Its totient is φ = 1674256320.

The previous prime is 1948896163. The next prime is 1948896233. The reversal of 1948896191 is 1916988491.

It is not a de Polignac number, because 1948896191 - 2¹⁰ = 1948895167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948890191) 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 15 ways as a sum of consecutive naturals, for example, 25406 + ... + 67403.

It is an arithmetic number, because the mean of its divisors is an integer number (140328720).

Almost surely, 2^1948896191 is an apocalyptic number.

1948896191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1948896191 is a deficient number, since it is larger than the sum of its proper divisors (296363329).

1948896191 is a wasteful number, since it uses less digits than its factorization.

1948896191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92926.

The product of its digits is 1119744, while the sum is 56.

The square root of 1948896191 is about 44146.3043866641. The cubic root of 1948896191 is about 1249.0972022019.

The spelling of 1948896191 in words is "one billion, nine hundred forty-eight million, eight hundred ninety-six thousand, one hundred ninety-one".