1233534434304 has 88 divisors (see below), whose sum is σ = 3290404100688. Its totient is φ = 410854850560.

The previous prime is 1233534434303. The next prime is 1233534434339. The reversal of 1233534434304 is 4034344353321.

It is a happy number.

It is a super-2 number, since 2×1233534434304² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233534434303) 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 7 ways as a sum of consecutive naturals, for example, 3765724 + ... + 4080164.

Almost surely, 2^{1233534434304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233534434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645202050344).

1233534434304 is an abundant number, since it is smaller than the sum of its proper divisors (2056869666384).

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

1233534434304 is a wasteful number, since it uses less digits than its factorization.

1233534434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315741 (or 315723 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 39.

Adding to 1233534434304 its reverse (4034344353321), we get a palindrome (5267878787625).

The spelling of 1233534434304 in words is "one trillion, two hundred thirty-three billion, five hundred thirty-four million, four hundred thirty-four thousand, three hundred four".