394968809664 has 1344 divisors, whose sum is σ = 1512006193152. Its totient is φ = 100329062400.

The previous prime is 394968809603. The next prime is 394968809693. The reversal of 394968809664 is 466908869493.

394968809664 is a `hidden beast` number, since 394 + 96 + 8 + 8 + 0 + 96 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 394968809592 and 394968809601.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1172014104 + ... + 1172014440.

It is an arithmetic number, because the mean of its divisors is an integer number (1125004608).

Almost surely, 2^394968809664 is an apocalyptic number.

394968809664 is a gapful number since it is divisible by the number (34) 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 394968809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756003096576).

394968809664 is an abundant number, since it is smaller than the sum of its proper divisors (1117037383488).

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

394968809664 is a wasteful number, since it uses less digits than its factorization.

394968809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 394968809664 in words is "three hundred ninety-four billion, nine hundred sixty-eight million, eight hundred nine thousand, six hundred sixty-four".