394161768000 has 1792 divisors, whose sum is σ = 1942729850880. Its totient is φ = 75561984000.

The previous prime is 394161767977. The next prime is 394161768037. The reversal of 394161768000 is 867161493.

It is a happy number.

394161768000 is a `hidden beast` number, since 394 + 16 + 176 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 216215089 + ... + 216216911.

It is an arithmetic number, because the mean of its divisors is an integer number (1084112640).

Almost surely, 2^394161768000 is an apocalyptic number.

394161768000 is a gapful number since it is divisible by the number (30) 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 394161768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971364925440).

394161768000 is an abundant number, since it is smaller than the sum of its proper divisors (1548568082880).

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

394161768000 is a wasteful number, since it uses less digits than its factorization.

394161768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 394161768000 in words is "three hundred ninety-four billion, one hundred sixty-one million, seven hundred sixty-eight thousand".