36241153344 has 126 divisors (see below), whose sum is σ = 114180964170. Its totient is φ = 10982146560.

The previous prime is 36241153331. The next prime is 36241153349. The reversal of 36241153344 is 44335114263.

It can be written as a sum of positive squares in only one way, i.e., 30175858944 + 6065294400 = 173712^2 + 77880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36241153299 and 36241153308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36241153349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 190299 + ... + 329690.

Almost surely, 2^36241153344 is an apocalyptic number.

It is an amenable number.

36241153344 is an abundant number, since it is smaller than the sum of its proper divisors (77939810826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36241153344 is a wasteful number, since it uses less digits than its factorization.

36241153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520029 (or 520005 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 36241153344 in words is "thirty-six billion, two hundred forty-one million, one hundred fifty-three thousand, three hundred forty-four".