10946350830 has 128 divisors (see below), whose sum is σ = 28514280960. Its totient is φ = 2679173120.

The previous prime is 10946350819. The next prime is 10946350841. The reversal of 10946350830 is 3805364901.

10946350830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10946350819) and next prime (10946350841).

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 63 ways as a sum of consecutive naturals, for example, 3940402 + ... + 3943178.

It is an arithmetic number, because the mean of its divisors is an integer number (222767820).

Almost surely, 2^10946350830 is an apocalyptic number.

10946350830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10946350830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257140480).

10946350830 is an abundant number, since it is smaller than the sum of its proper divisors (17567930130).

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

10946350830 is a wasteful number, since it uses less digits than its factorization.

10946350830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 10946350830 in words is "ten billion, nine hundred forty-six million, three hundred fifty thousand, eight hundred thirty".