33643040144 has 30 divisors (see below), whose sum is σ = 75825578214. Its totient is φ = 14418445440.

The previous prime is 33643040141. The next prime is 33643040153. The reversal of 33643040144 is 44104034633.

It can be written as a sum of positive squares in only one way, i.e., 33083244544 + 559795600 = 181888^2 + 23660^2 .

It is a super-2 number, since 2×33643040144² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33643040144.

It is not an unprimeable number, because it can be changed into a prime (33643040141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21455237 + ... + 21456804.

Almost surely, 2^33643040144 is an apocalyptic number.

It is an amenable number.

33643040144 is an abundant number, since it is smaller than the sum of its proper divisors (42182538070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33643040144 is a wasteful number, since it uses less digits than its factorization.

33643040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42912063 (or 42912050 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 33643040144 its reverse (44104034633), we get a palindrome (77747074777).

The spelling of 33643040144 in words is "thirty-three billion, six hundred forty-three million, forty thousand, one hundred forty-four".