10233644633201 has 24 divisors (see below), whose sum is σ = 11378856318312. Its totient is φ = 9196156569600.

The previous prime is 10233644633117. The next prime is 10233644633221.

10233644633201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2086479136225 + 8147165496976 = 1444465^2 + 2854324^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10233644633201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10233644633221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2270831 + ... + 5062011.

It is an arithmetic number, because the mean of its divisors is an integer number (474119013263).

Almost surely, 2^{10233644633201} is an apocalyptic number.

10233644633201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10233644633201 is a deficient number, since it is larger than the sum of its proper divisors (1145211685111).

10233644633201 is a wasteful number, since it uses less digits than its factorization.

10233644633201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791553 (or 2791542 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

It can be divided in two parts, 1023364 and 4633201, that added together give a palindrome (5656565).

The spelling of 10233644633201 in words is "ten trillion, two hundred thirty-three billion, six hundred forty-four million, six hundred thirty-three thousand, two hundred one".