10114463360 has 64 divisors (see below), whose sum is σ = 24217482600. Its totient is φ = 4039495680.

The previous prime is 10114463357. The next prime is 10114463377. The reversal of 10114463360 is 6336441101.

10114463360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7119309376 + 2995153984 = 84376^2 + 54728^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 411086 + ... + 434994.

Almost surely, 2^10114463360 is an apocalyptic number.

10114463360 is a gapful number since it is divisible by the number (10) 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 10114463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108741300).

10114463360 is an abundant number, since it is smaller than the sum of its proper divisors (14103019240).

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

10114463360 is an equidigital number, since it uses as much as digits as its factorization.

10114463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24589 (or 24577 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 10114463360 in words is "ten billion, one hundred fourteen million, four hundred sixty-three thousand, three hundred sixty".