10398106368 has 216 divisors, whose sum is σ = 33402598320. Its totient is φ = 3088834560.

The previous prime is 10398106333. The next prime is 10398106399. The reversal of 10398106368 is 86360189301.

It is a happy number.

10398106368 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 8 + 1 + 0 + 636 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 862623 + ... + 874593.

Almost surely, 2^10398106368 is an apocalyptic number.

10398106368 is a gapful number since it is divisible by the number (18) 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 10398106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16701299160).

10398106368 is an abundant number, since it is smaller than the sum of its proper divisors (23004491952).

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

10398106368 is a wasteful number, since it uses less digits than its factorization.

10398106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12035 (or 12018 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10398106368 in words is "ten billion, three hundred ninety-eight million, one hundred six thousand, three hundred sixty-eight".