33049517774641 has 9 divisors (see below), whose sum is σ = 33157249897131. Its totient is φ = 32942134613232.

The previous prime is 33049517774599. The next prime is 33049517774653. The reversal of 33049517774641 is 14647771594033.

The square root of 33049517774641 is 5748871.

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., 210841680625 + 32838676094016 = 459175^2 + 5730504^2 .

It is not a de Polignac number, because 33049517774641 - 2²⁵ = 33049484220209 is a prime.

It is a super-2 number, since 2×33049517774641² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33049517774641.

It is not an unprimeable number, because it can be changed into a prime (33049517774341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1799387440 + ... + 1799405806.

It is an arithmetic number, because the mean of its divisors is an integer number (3684138877459).

Almost surely, 2^{33049517774641} is an apocalyptic number.

33049517774641 is the 5748871-st square number.

33049517774641 is the 2874436-th centered octagonal number.

It is an amenable number.

33049517774641 is a deficient number, since it is larger than the sum of its proper divisors (107732122490).

33049517774641 is an frugal number, since it uses more digits than its factorization.

33049517774641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37360 (or 18680 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 61.

The spelling of 33049517774641 in words is "thirty-three trillion, forty-nine billion, five hundred seventeen million, seven hundred seventy-four thousand, six hundred forty-one".