36442733724463 has 32 divisors (see below), whose sum is σ = 42560723347200. Its totient is φ = 30851713382400.

The previous prime is 36442733724427. The next prime is 36442733724473.

36442733724463 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 36442733724463 - 2²¹ = 36442731627311 is a prime.

It is a super-2 number, since 2×36442733724463² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36442733724398 and 36442733724407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36442733724403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168000133 + ... + 168216913.

It is an arithmetic number, because the mean of its divisors is an integer number (1330022604600).

Almost surely, 2^{36442733724463} is an apocalyptic number.

36442733724463 is a deficient number, since it is larger than the sum of its proper divisors (6117989622737).

36442733724463 is a wasteful number, since it uses less digits than its factorization.

36442733724463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230503.

The product of its digits is 146313216, while the sum is 58.

The spelling of 36442733724463 in words is "thirty-six trillion, four hundred forty-two billion, seven hundred thirty-three million, seven hundred twenty-four thousand, four hundred sixty-three".