10460164416 has 168 divisors, whose sum is σ = 30075713280. Its totient is φ = 3207020544.

The previous prime is 10460164397. The next prime is 10460164423. The reversal of 10460164416 is 61446106401.

10460164416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15542256 + ... + 15542928.

Almost surely, 2^10460164416 is an apocalyptic number.

10460164416 is a gapful number since it is divisible by the number (16) 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 10460164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037856640).

10460164416 is an abundant number, since it is smaller than the sum of its proper divisors (19615548864).

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

10460164416 is a wasteful number, since it uses less digits than its factorization.

10460164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 10460164416 in words is "ten billion, four hundred sixty million, one hundred sixty-four thousand, four hundred sixteen".