90008400195 has 96 divisors (see below), whose sum is σ = 182933337600. Its totient is φ = 40090401792.

The previous prime is 90008400191. The next prime is 90008400197. The reversal of 90008400195 is 59100480009.

It is a Cunningham number, because it is equal to 300014²-1.

It is not a de Polignac number, because 90008400195 - 2² = 90008400191 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90008400191) 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 95 ways as a sum of consecutive naturals, for example, 2078676 + ... + 2121534.

It is an arithmetic number, because the mean of its divisors is an integer number (1905555600).

Almost surely, 2^90008400195 is an apocalyptic number.

90008400195 is an abundant number, since it is smaller than the sum of its proper divisors (92924937405).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90008400195 is a wasteful number, since it uses less digits than its factorization.

90008400195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43049 (or 43046 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 90008400195 in words is "ninety billion, eight million, four hundred thousand, one hundred ninety-five".