10414832007168 has 576 divisors, whose sum is σ = 31686153408000. Its totient is φ = 3417279528960.

The previous prime is 10414832007161. The next prime is 10414832007199. The reversal of 10414832007168 is 86170023841401.

10414832007168 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 483 + 2 + 0 + 0 + 7 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414832007161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10200618498 + ... + 10200619518.

It is an arithmetic number, because the mean of its divisors is an integer number (55010683000).

Almost surely, 2^{10414832007168} is an apocalyptic number.

10414832007168 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 10414832007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843076704000).

10414832007168 is an abundant number, since it is smaller than the sum of its proper divisors (21271321400832).

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

10414832007168 is a wasteful number, since it uses less digits than its factorization.

10414832007168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

Adding to 10414832007168 its reverse (86170023841401), we get a palindrome (96584855848569).

The spelling of 10414832007168 in words is "ten trillion, four hundred fourteen billion, eight hundred thirty-two million, seven thousand, one hundred sixty-eight".