396181068864 has 224 divisors, whose sum is σ = 1227588096000. Its totient is φ = 112716495360.

The previous prime is 396181068853. The next prime is 396181068917. The reversal of 396181068864 is 468860181693.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 396181068798 and 396181068807.

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 31 ways as a sum of consecutive naturals, for example, 15726999 + ... + 15752169.

It is an arithmetic number, because the mean of its divisors is an integer number (5480304000).

Almost surely, 2^396181068864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396181068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613794048000).

396181068864 is an abundant number, since it is smaller than the sum of its proper divisors (831407027136).

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

396181068864 is a wasteful number, since it uses less digits than its factorization.

396181068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25446 (or 25422 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 396181068864 in words is "three hundred ninety-six billion, one hundred eighty-one million, sixty-eight thousand, eight hundred sixty-four".