8398406016 has 384 divisors, whose sum is σ = 32452842240. Its totient is φ = 2013327360.

The previous prime is 8398405979. The next prime is 8398406041. The reversal of 8398406016 is 6106048938.

8398406016 is a `hidden beast` number, since 8 + 39 + 8 + 4 + 0 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149511 + ... + 1156793.

It is an arithmetic number, because the mean of its divisors is an integer number (84512610).

Almost surely, 2^8398406016 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 8398406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226421120).

8398406016 is an abundant number, since it is smaller than the sum of its proper divisors (24054436224).

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

8398406016 is a wasteful number, since it uses less digits than its factorization.

8398406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8398406016 is about 91642.8175909056. The cubic root of 8398406016 is about 2032.6641245806.

It can be divided in two parts, 8398 and 406016, that added together give a palindrome (414414).

The spelling of 8398406016 in words is "eight billion, three hundred ninety-eight million, four hundred six thousand, sixteen".