396378198216 has 768 divisors, whose sum is σ = 1520216812800. Its totient is φ = 94058496000.

The previous prime is 396378198211. The next prime is 396378198367. The reversal of 396378198216 is 612891873693.

396378198216 is a `hidden beast` number, since 39 + 6 + 378 + 19 + 8 + 216 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (396378198211) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 152863416 + ... + 152866008.

It is an arithmetic number, because the mean of its divisors is an integer number (1979448975).

Almost surely, 2^396378198216 is an apocalyptic number.

396378198216 is a gapful number since it is divisible by the number (36) 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 396378198216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760108406400).

396378198216 is an abundant number, since it is smaller than the sum of its proper divisors (1123838614584).

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

396378198216 is a wasteful number, since it uses less digits than its factorization.

396378198216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2730 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 396378198216 in words is "three hundred ninety-six billion, three hundred seventy-eight million, one hundred ninety-eight thousand, two hundred sixteen".