33473934116961 has 16 divisors (see below), whose sum is σ = 48065638805184. Its totient is φ = 20599128656064.

The previous prime is 33473934116957. The next prime is 33473934116993. The reversal of 33473934116961 is 16961143937433.

It is not a de Polignac number, because 33473934116961 - 2² = 33473934116957 is a prime.

It is a super-2 number, since 2×33473934116961² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33473934116895 and 33473934116904.

It is not an unprimeable number, because it can be changed into a prime (33473934116461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669486 + ... + 8209511.

It is an arithmetic number, because the mean of its divisors is an integer number (3004102425324).

Almost surely, 2^{33473934116961} is an apocalyptic number.

It is an amenable number.

33473934116961 is a deficient number, since it is larger than the sum of its proper divisors (14591704688223).

33473934116961 is a wasteful number, since it uses less digits than its factorization.

33473934116961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975680.

The product of its digits is 26453952, while the sum is 60.

The spelling of 33473934116961 in words is "thirty-three trillion, four hundred seventy-three billion, nine hundred thirty-four million, one hundred sixteen thousand, nine hundred sixty-one".