33645412039681 has 8 divisors (see below), whose sum is σ = 36242296090280. Its totient is φ = 31049781622272.

The previous prime is 33645412039667. The next prime is 33645412039691. The reversal of 33645412039681 is 18693021454633.

It can be written as a sum of positive squares in 4 ways, for example, as 1118921799681 + 32526490240000 = 1057791^2 + 5703200^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33645412039681 - 2¹³ = 33645412031489 is a prime.

It is a super-4 number, since 4×33645412039681⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33645412039661) 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 7 ways as a sum of consecutive naturals, for example, 313352550 + ... + 313459903.

It is an arithmetic number, because the mean of its divisors is an integer number (4530287011285).

Almost surely, 2^{33645412039681} is an apocalyptic number.

It is an amenable number.

33645412039681 is a deficient number, since it is larger than the sum of its proper divisors (2596884050599).

33645412039681 is a wasteful number, since it uses less digits than its factorization.

33645412039681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626816595.

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 33645412039681 in words is "thirty-three trillion, six hundred forty-five billion, four hundred twelve million, thirty-nine thousand, six hundred eighty-one".