33261481344 has 128 divisors (see below), whose sum is σ = 108739572480. Its totient is φ = 8772249600.

The previous prime is 33261481343. The next prime is 33261481367. The reversal of 33261481344 is 44318416233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33261481344² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33261481343) 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 15 ways as a sum of consecutive naturals, for example, 440982 + ... + 510869.

It is an arithmetic number, because the mean of its divisors is an integer number (849527910).

Almost surely, 2^33261481344 is an apocalyptic number.

It is an amenable number.

33261481344 is an abundant number, since it is smaller than the sum of its proper divisors (75478091136).

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

33261481344 is a wasteful number, since it uses less digits than its factorization.

33261481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951888 (or 951876 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

Adding to 33261481344 its reverse (44318416233), we get a palindrome (77579897577).

It can be divided in two parts, 33261 and 481344, that added together give a triangular number (514605 = T₁₀₁₄).

The spelling of 33261481344 in words is "thirty-three billion, two hundred sixty-one million, four hundred eighty-one thousand, three hundred forty-four".