1000090918191 has 16 divisors (see below), whose sum is σ = 1376517841920. Its totient is φ = 645197156160.

The previous prime is 1000090918171. The next prime is 1000090918217. The reversal of 1000090918191 is 1918190900001.

1000090918191 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000090918191 - 2¹⁰ = 1000090917167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000090918111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2690716 + ... + 3039758.

It is an arithmetic number, because the mean of its divisors is an integer number (86032365120).

Almost surely, 2^{1000090918191} is an apocalyptic number.

1000090918191 is a deficient number, since it is larger than the sum of its proper divisors (376426923729).

1000090918191 is a wasteful number, since it uses less digits than its factorization.

1000090918191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379886.

The product of its (nonzero) digits is 5832, while the sum is 39.

The spelling of 1000090918191 in words is "one trillion, ninety million, nine hundred eighteen thousand, one hundred ninety-one".