10462233226401 has 24 divisors (see below), whose sum is σ = 16931509305984. Its totient is φ = 6169375856160.

The previous prime is 10462233226387. The next prime is 10462233226421.

10462233226401 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 2 + 2 + 3 + 3 + 2 + 2 + 640 + 1 = 666.

10462233226401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10462233226401 - 2²⁹ = 10461696355489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10462233226421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1428092601 + ... + 1428099926.

It is an arithmetic number, because the mean of its divisors is an integer number (705479554416).

Almost surely, 2^{10462233226401} is an apocalyptic number.

10462233226401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10462233226401 is a deficient number, since it is larger than the sum of its proper divisors (6469276079583).

10462233226401 is a wasteful number, since it uses less digits than its factorization.

10462233226401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856192581 (or 2856192578 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 10462233226401 in words is "ten trillion, four hundred sixty-two billion, two hundred thirty-three million, two hundred twenty-six thousand, four hundred one".