10304510884096 has 729 divisors, whose sum is σ = 26018670630771. Its totient is φ = 4067793100800.

The previous prime is 10304510884061. The next prime is 10304510884097. The reversal of 10304510884096 is 69048801540301.

It is a happy number.

The square root of 10304510884096 is 3210064.

It is a perfect power (a square), and thus also a powerful number.

10304510884096 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 7246433286400 + 3058077597696 = 2691920^2 + 1748736^2 .

It is not an unprimeable number, because it can be changed into a prime (10304510884097) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 168926407906 + ... + 168926407966.

Almost surely, 2^{10304510884096} is an apocalyptic number.

10304510884096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10304510884096 is the 3210064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304510884096

10304510884096 is an abundant number, since it is smaller than the sum of its proper divisors (15714159746675).

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

10304510884096 is an equidigital number, since it uses as much as digits as its factorization.

10304510884096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 10304510884096 by its sum of digits (49), we get a square (504921033320704 = 22470448²).

The spelling of 10304510884096 in words is "ten trillion, three hundred four billion, five hundred ten million, eight hundred eighty-four thousand, ninety-six".