10001948555811 has 16 divisors (see below), whose sum is σ = 13618224527616. Its totient is φ = 6527387139936.

The previous prime is 10001948555777. The next prime is 10001948555813. The reversal of 10001948555811 is 11855584910001.

It is not a de Polignac number, because 10001948555811 - 2²⁷ = 10001814338083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001948555813) 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, 70928815 + ... + 71069688.

It is an arithmetic number, because the mean of its divisors is an integer number (851139032976).

Almost surely, 2^{10001948555811} is an apocalyptic number.

10001948555811 is a deficient number, since it is larger than the sum of its proper divisors (3616275971805).

10001948555811 is a wasteful number, since it uses less digits than its factorization.

10001948555811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141999002.

The product of its (nonzero) digits is 288000, while the sum is 48.

The spelling of 10001948555811 in words is "ten trillion, one billion, nine hundred forty-eight million, five hundred fifty-five thousand, eight hundred eleven".