36219658048729 has 3 divisors (see below), whose sum is σ = 36219664067007. Its totient is φ = 36219652030452.

The previous prime is 36219658048723. The next prime is 36219658048771. The reversal of 36219658048729 is 92784085691263.

The square root of 36219658048729 is 6018277.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 30906872766025 + 5312785282704 = 5559395^2 + 2304948^2 .

It is not a de Polignac number, because 36219658048729 - 2⁴¹ = 34020634793177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36219658048723) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3009139 + ... + 9027415.

It is an arithmetic number, because the mean of its divisors is an integer number (12073221355669).

It is a 2-persistent number, because it is pandigital, and so is 2⋅36219658048729 = 72439316097458, but 3⋅36219658048729 = 108658974146187 is not.

Almost surely, 2^{36219658048729} is an apocalyptic number.

36219658048729 is the 6018277-th square number.

36219658048729 is the 3009139-th centered octagonal number.

It is an amenable number.

36219658048729 is a deficient number, since it is larger than the sum of its proper divisors (6018278).

36219658048729 is an frugal number, since it uses more digits than its factorization.

36219658048729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12036554 (or 6018277 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 70.

The spelling of 36219658048729 in words is "thirty-six trillion, two hundred nineteen billion, six hundred fifty-eight million, forty-eight thousand, seven hundred twenty-nine".