10224536845743 has 48 divisors (see below), whose sum is σ = 16960198469760. Its totient is φ = 5870257012800.

The previous prime is 10224536845729. The next prime is 10224536845759. The reversal of 10224536845743 is 34754863542201.

10224536845743 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 4 + 5 + 3 + 68 + 4 + 574 + 3 = 666.

It is not a de Polignac number, because 10224536845743 - 2¹⁶ = 10224536780207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10224536845743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224536845723) 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, 41282988 + ... + 41529918.

It is an arithmetic number, because the mean of its divisors is an integer number (353337468120).

Almost surely, 2^{10224536845743} is an apocalyptic number.

10224536845743 is a deficient number, since it is larger than the sum of its proper divisors (6735661624017).

10224536845743 is a wasteful number, since it uses less digits than its factorization.

10224536845743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268980 (or 268977 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 10224536845743 in words is "ten trillion, two hundred twenty-four billion, five hundred thirty-six million, eight hundred forty-five thousand, seven hundred forty-three".