194948479022976 has 1152 divisors, whose sum is σ = 684357251558400. Its totient is φ = 54473208072192.

The previous prime is 194948479022953. The next prime is 194948479022987. The reversal of 194948479022976 is 679220974849491.

194948479022976 is a `hidden beast` number, since 1 + 9 + 49 + 484 + 7 + 9 + 0 + 2 + 2 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 194948479022895 and 194948479022904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131455480731 + ... + 131455482213.

It is an arithmetic number, because the mean of its divisors is an integer number (594060114200).

Almost surely, 2^{194948479022976} is an apocalyptic number.

194948479022976 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 194948479022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342178625779200).

194948479022976 is an abundant number, since it is smaller than the sum of its proper divisors (489408772535424).

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

194948479022976 is a wasteful number, since it uses less digits than its factorization.

194948479022976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 81.

The spelling of 194948479022976 in words is "one hundred ninety-four trillion, nine hundred forty-eight billion, four hundred seventy-nine million, twenty-two thousand, nine hundred seventy-six".