33865148668129 has 27 divisors (see below), whose sum is σ = 36208822393107. Its totient is φ = 31668490973808.

The previous prime is 33865148668009. The next prime is 33865148668151. The reversal of 33865148668129 is 92186684156833.

It is a happy number.

The square root of 33865148668129 is 5819377.

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

It can be written as a sum of positive squares in only one way, i.e., 8611026147025 + 25254122521104 = 2934455^2 + 5025348^2 .

It is not a de Polignac number, because 33865148668129 - 2⁹ = 33865148667617 is a prime.

It is a super-2 number, since 2×33865148668129² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33865158668129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8734882939 + ... + 8734886815.

It is an arithmetic number, because the mean of its divisors is an integer number (1341067496041).

Almost surely, 2^{33865148668129} is an apocalyptic number.

33865148668129 is the 5819377-th square number.

33865148668129 is the 2909689-th centered octagonal number.

It is an amenable number.

33865148668129 is a deficient number, since it is larger than the sum of its proper divisors (2343673724978).

33865148668129 is an frugal number, since it uses more digits than its factorization.

33865148668129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950 (or 3975 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 70.

The spelling of 33865148668129 in words is "thirty-three trillion, eight hundred sixty-five billion, one hundred forty-eight million, six hundred sixty-eight thousand, one hundred twenty-nine".