33514991041 has 9 divisors (see below), whose sum is σ = 38988317091. Its totient is φ = 28726036752.

The previous prime is 33514991011. The next prime is 33514991051. The reversal of 33514991041 is 14019941533.

The square root of 33514991041 is 183071.

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., 4169930625 + 29345060416 = 64575^2 + 171304^2 .

It is not a de Polignac number, because 33514991041 - 2⁷ = 33514990913 is a prime.

It is a super-2 number, since 2×33514991041² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33514990985 and 33514991003.

It is not an unprimeable number, because it can be changed into a prime (33514991011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1268421 + ... + 1294573.

Almost surely, 2^33514991041 is an apocalyptic number.

33514991041 is the 183071-st square number.

33514991041 is the 91536-th centered octagonal number.

It is an amenable number.

33514991041 is a deficient number, since it is larger than the sum of its proper divisors (5473326050).

33514991041 is an frugal number, since it uses more digits than its factorization.

33514991041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52320 (or 26160 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 33514991041 in words is "thirty-three billion, five hundred fourteen million, nine hundred ninety-one thousand, forty-one".