394146466560 has 1296 divisors, whose sum is σ = 1795423698432. Its totient is φ = 81865728000.

The previous prime is 394146466537. The next prime is 394146466577. The reversal of 394146466560 is 65664641493.

394146466560 is a `hidden beast` number, since 3 + 9 + 4 + 14 + 6 + 4 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 394146466497 and 394146466506.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 167649385 + ... + 167651735.

It is an arithmetic number, because the mean of its divisors is an integer number (1385357792).

Almost surely, 2^394146466560 is an apocalyptic number.

394146466560 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 394146466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897711849216).

394146466560 is an abundant number, since it is smaller than the sum of its proper divisors (1401277231872).

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

394146466560 is a wasteful number, since it uses less digits than its factorization.

394146466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 394146466560 in words is "three hundred ninety-four billion, one hundred forty-six million, four hundred sixty-six thousand, five hundred sixty".