394346441091456 has 320 divisors, whose sum is σ = 1420116652421280. Its totient is φ = 106042740129792.

The previous prime is 394346441091443. The next prime is 394346441091569. The reversal of 394346441091456 is 654190144643493.

394346441091456 is a `hidden beast` number, since 3 + 9 + 4 + 3 + 46 + 44 + 10 + 91 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 394346441091393 and 394346441091402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158576955 + ... + 161044538.

Almost surely, 2^{394346441091456} is an apocalyptic number.

394346441091456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

394346441091456 is an abundant number, since it is smaller than the sum of its proper divisors (1025770211329824).

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

394346441091456 is a wasteful number, since it uses less digits than its factorization.

394346441091456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319621543 (or 319621522 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 394346441091456 in words is "three hundred ninety-four trillion, three hundred forty-six billion, four hundred forty-one million, ninety-one thousand, four hundred fifty-six".