195995242293312 has 224 divisors, whose sum is σ = 667385560571904. Its totient is φ = 49265666150400.

The previous prime is 195995242293307. The next prime is 195995242293401. The reversal of 195995242293312 is 213392242599591.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×195995242293312² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 213368373 + ... + 214284980.

Almost surely, 2^{195995242293312} is an apocalyptic number.

195995242293312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

195995242293312 is an abundant number, since it is smaller than the sum of its proper divisors (471390318278592).

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

195995242293312 is a wasteful number, since it uses less digits than its factorization.

195995242293312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427653417 (or 427653407 counting only the distinct ones).

The product of its digits is 94478400, while the sum is 66.

The spelling of 195995242293312 in words is "one hundred ninety-five trillion, nine hundred ninety-five billion, two hundred forty-two million, two hundred ninety-three thousand, three hundred twelve".