10645633401333 has 48 divisors (see below), whose sum is σ = 17399179465920. Its totient is φ = 5756897712384.

The previous prime is 10645633401307. The next prime is 10645633401349. The reversal of 10645633401333 is 33310433654601.

It is a happy number.

It is not a de Polignac number, because 10645633401333 - 2⁵ = 10645633401301 is a prime.

It is a super-2 number, since 2×10645633401333² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645633801333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 583135 + ... + 4650947.

It is an arithmetic number, because the mean of its divisors is an integer number (362482905540).

Almost surely, 2^{10645633401333} is an apocalyptic number.

It is an amenable number.

10645633401333 is a deficient number, since it is larger than the sum of its proper divisors (6753546064587).

10645633401333 is a wasteful number, since it uses less digits than its factorization.

10645633401333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068786 (or 4068779 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 42.

The spelling of 10645633401333 in words is "ten trillion, six hundred forty-five billion, six hundred thirty-three million, four hundred one thousand, three hundred thirty-three".