194191668000 has 1440 divisors, whose sum is σ = 820710963072. Its totient is φ = 44592768000.

The previous prime is 194191667993. The next prime is 194191668001. The reversal of 194191668000 is 866191491.

194191668000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194191668001) 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 239 ways as a sum of consecutive naturals, for example, 1885355949 + ... + 1885356051.

Almost surely, 2^194191668000 is an apocalyptic number.

194191668000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194191668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410355481536).

194191668000 is an abundant number, since it is smaller than the sum of its proper divisors (626519295072).

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

194191668000 is a wasteful number, since it uses less digits than its factorization.

194191668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 194191668000 in words is "one hundred ninety-four billion, one hundred ninety-one million, six hundred sixty-eight thousand".