394451068032 has 768 divisors, whose sum is σ = 1432130918400. Its totient is φ = 105560506368.

The previous prime is 394451068007. The next prime is 394451068069. The reversal of 394451068032 is 230860154493.

394451068032 is a `hidden beast` number, since 3 + 9 + 44 + 510 + 68 + 0 + 32 = 666.

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 95 ways as a sum of consecutive naturals, for example, 401272213 + ... + 401273195.

It is an arithmetic number, because the mean of its divisors is an integer number (1864753800).

Almost surely, 2^394451068032 is an apocalyptic number.

394451068032 is a gapful number since it is divisible by the number (32) 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 394451068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716065459200).

394451068032 is an abundant number, since it is smaller than the sum of its proper divisors (1037679850368).

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

394451068032 is an equidigital number, since it uses as much as digits as its factorization.

394451068032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 394451068032 in words is "three hundred ninety-four billion, four hundred fifty-one million, sixty-eight thousand, thirty-two".