33148646914241 has 2 divisors, whose sum is σ = 33148646914242. Its totient is φ = 33148646914240.

The previous prime is 33148646914151. The next prime is 33148646914249. The reversal of 33148646914241 is 14241964684133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31366675555216 + 1781971359025 = 5600596^2 + 1334905^2 .

It is a cyclic number.

It is not a de Polignac number, because 33148646914241 - 2¹⁸ = 33148646652097 is a prime.

It is not a weakly prime, because it can be changed into another prime (33148646914249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16574323457120 + 16574323457121.

It is an arithmetic number, because the mean of its divisors is an integer number (16574323457121).

Almost surely, 2^{33148646914241} is an apocalyptic number.

It is an amenable number.

33148646914241 is a deficient number, since it is larger than the sum of its proper divisors (1).

33148646914241 is an equidigital number, since it uses as much as digits as its factorization.

33148646914241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11943936, while the sum is 56.

The spelling of 33148646914241 in words is "thirty-three trillion, one hundred forty-eight billion, six hundred forty-six million, nine hundred fourteen thousand, two hundred forty-one".