10479321468 has 144 divisors (see below), whose sum is σ = 34091366400. Its totient is φ = 2634076800.

The previous prime is 10479321451. The next prime is 10479321497. The reversal of 10479321468 is 86412397401.

10479321468 is a `hidden beast` number, since 1 + 0 + 479 + 32 + 146 + 8 = 666.

10479321468 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 47 ways as a sum of consecutive naturals, for example, 24958 + ... + 146906.

It is an arithmetic number, because the mean of its divisors is an integer number (236745600).

Almost surely, 2^10479321468 is an apocalyptic number.

10479321468 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 10479321468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17045683200).

10479321468 is an abundant number, since it is smaller than the sum of its proper divisors (23612044932).

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

10479321468 is a wasteful number, since it uses less digits than its factorization.

10479321468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122008 (or 122003 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10479321468 in words is "ten billion, four hundred seventy-nine million, three hundred twenty-one thousand, four hundred sixty-eight".