33890232649 has 75 divisors (see below), whose sum is σ = 45487128003. Its totient is φ = 25236941184.

The previous prime is 33890232647. The next prime is 33890232667. The reversal of 33890232649 is 94623209833.

It is a happy number.

The square root of 33890232649 is 184093.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 10337805625 + 23552427024 = 101675^2 + 153468^2 .

It is not a de Polignac number, because 33890232649 - 2¹ = 33890232647 is a prime.

It is a super-2 number, since 2×33890232649² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33890232647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1993543089 + ... + 1993543105.

Almost surely, 2^33890232649 is an apocalyptic number.

33890232649 is the 184093-rd square number.

33890232649 is the 92047-th centered octagonal number.

It is an amenable number.

33890232649 is a deficient number, since it is larger than the sum of its proper divisors (11596895354).

33890232649 is an frugal number, since it uses more digits than its factorization.

33890232649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

Multiplying 33890232649 by its sum of digits (49), we get a square (1660621399801 = 1288651²).

33890232649 divided by its sum of digits (49) gives a square (691637401 = 26299²).

The spelling of 33890232649 in words is "thirty-three billion, eight hundred ninety million, two hundred thirty-two thousand, six hundred forty-nine".