36224488442263 has 16 divisors (see below), whose sum is σ = 41597826278400. Its totient is φ = 31197878326080.

The previous prime is 36224488442251. The next prime is 36224488442281.

36224488442263 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 36224488442263 - 2²⁹ = 36223951571351 is a prime.

It is a super-3 number, since 3×36224488442263³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36224488442198 and 36224488442207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36224488442563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29001370 + ... + 30224632.

It is an arithmetic number, because the mean of its divisors is an integer number (2599864142400).

Almost surely, 2^{36224488442263} is an apocalyptic number.

36224488442263 is a deficient number, since it is larger than the sum of its proper divisors (5373337836137).

36224488442263 is a wasteful number, since it uses less digits than its factorization.

36224488442263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364982.

The product of its digits is 84934656, while the sum is 58.

The spelling of 36224488442263 in words is "thirty-six trillion, two hundred twenty-four billion, four hundred eighty-eight million, four hundred forty-two thousand, two hundred sixty-three".