194144213367936 has 768 divisors, whose sum is σ = 630982910638080. Its totient is φ = 56892284928000.

The previous prime is 194144213367913. The next prime is 194144213367943. The reversal of 194144213367936 is 639763312441491.

It is a happy number.

194144213367936 is a `hidden beast` number, since 1 + 9 + 41 + 442 + 1 + 3 + 3 + 67 + 93 + 6 = 666.

It is a super-3 number, since 3×194144213367936³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7830593556 + ... + 7830618348.

It is an arithmetic number, because the mean of its divisors is an integer number (821592331560).

Almost surely, 2^{194144213367936} is an apocalyptic number.

194144213367936 is a gapful number since it is divisible by the number (16) 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 194144213367936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315491455319040).

194144213367936 is an abundant number, since it is smaller than the sum of its proper divisors (436838697270144).

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

194144213367936 is a wasteful number, since it uses less digits than its factorization.

194144213367936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25125 (or 25110 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 194144213367936 in words is "one hundred ninety-four trillion, one hundred forty-four billion, two hundred thirteen million, three hundred sixty-seven thousand, nine hundred thirty-six".