194952096768 has 352 divisors, whose sum is σ = 642617821440. Its totient is φ = 51659735040.

The previous prime is 194952096743. The next prime is 194952096803. The reversal of 194952096768 is 867690259491.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×194952096768³ (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 194952096699 and 194952096708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8334946 + ... + 8358302.

Almost surely, 2^194952096768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194952096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321308910720).

194952096768 is an abundant number, since it is smaller than the sum of its proper divisors (447665724672).

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

194952096768 is a wasteful number, since it uses less digits than its factorization.

194952096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23423 (or 23405 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 66.

The spelling of 194952096768 in words is "one hundred ninety-four billion, nine hundred fifty-two million, ninety-six thousand, seven hundred sixty-eight".