36224242263 has 72 divisors (see below), whose sum is σ = 58058464464. Its totient is φ = 21747179520.

The previous prime is 36224242259. The next prime is 36224242291.

36224242263 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 424 + 226 + 3 = 666.

36224242263 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36224242263 - 2² = 36224242259 is a prime.

It is a super-2 number, since 2×36224242263² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36224242763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97115745 + ... + 97116117.

It is an arithmetic number, because the mean of its divisors is an integer number (806367562).

Almost surely, 2^36224242263 is an apocalyptic number.

36224242263 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36224242263 is a deficient number, since it is larger than the sum of its proper divisors (21834222201).

36224242263 is a wasteful number, since it uses less digits than its factorization.

36224242263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 991 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 36224242263 in words is "thirty-six billion, two hundred twenty-four million, two hundred forty-two thousand, two hundred sixty-three".