10346043168 has 240 divisors, whose sum is σ = 31584833280. Its totient is φ = 3318796800.

The previous prime is 10346043167. The next prime is 10346043181. The reversal of 10346043168 is 86134064301.

It is a happy number.

10346043168 is a `hidden beast` number, since 1 + 0 + 34 + 604 + 3 + 16 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10346043167) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 26596318 + ... + 26596706.

It is an arithmetic number, because the mean of its divisors is an integer number (131603472).

Almost surely, 2^10346043168 is an apocalyptic number.

10346043168 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 10346043168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792416640).

10346043168 is an abundant number, since it is smaller than the sum of its proper divisors (21238790112).

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

10346043168 is a wasteful number, since it uses less digits than its factorization.

10346043168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10346043168 in words is "ten billion, three hundred forty-six million, forty-three thousand, one hundred sixty-eight".