33729241948921 has 2 divisors, whose sum is σ = 33729241948922. Its totient is φ = 33729241948920.

The previous prime is 33729241948879. The next prime is 33729241948967. The reversal of 33729241948921 is 12984914292733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33667718107321 + 61523841600 = 5802389^2 + 248040^2 .

It is a cyclic number.

It is not a de Polignac number, because 33729241948921 - 2¹⁹ = 33729241424633 is a prime.

It is a super-2 number, since 2×33729241948921² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33729241978921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16864620974460 + 16864620974461.

It is an arithmetic number, because the mean of its divisors is an integer number (16864620974461).

Almost surely, 2^{33729241948921} is an apocalyptic number.

It is an amenable number.

33729241948921 is a deficient number, since it is larger than the sum of its proper divisors (1).

33729241948921 is an equidigital number, since it uses as much as digits as its factorization.

33729241948921 is an evil number, because the sum of its binary digits is even.

The product of its digits is 47029248, while the sum is 64.

The spelling of 33729241948921 in words is "thirty-three trillion, seven hundred twenty-nine billion, two hundred forty-one million, nine hundred forty-eight thousand, nine hundred twenty-one".