10461016401 has 24 divisors (see below), whose sum is σ = 15745676352. Its totient is φ = 6168650400.

The previous prime is 10461016373. The next prime is 10461016403.

10461016401 is nontrivially palindromic in base 10.

10461016401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10461016401 - 2⁵ = 10461016369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10461016403) by changing a digit.

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, 376005 + ... + 402866.

It is an arithmetic number, because the mean of its divisors is an integer number (656069848).

Almost surely, 2^10461016401 is an apocalyptic number.

10461016401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10461016401 is a deficient number, since it is larger than the sum of its proper divisors (5284659951).

10461016401 is a wasteful number, since it uses less digits than its factorization.

10461016401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778933 (or 778922 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 10461016401 in words is "ten billion, four hundred sixty-one million, sixteen thousand, four hundred one".