233431324079616 has 480 divisors, whose sum is σ = 743447087903520. Its totient is φ = 70055176568832.

The previous prime is 233431324079581. The next prime is 233431324079647. The reversal of 233431324079616 is 616970423134332.

It is a happy number.

233431324079616 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 3 + 13 + 2 + 4 + 0 + 7 + 9 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1826229340 + ... + 1826357156.

It is an arithmetic number, because the mean of its divisors is an integer number (1548848099799).

Almost surely, 2^{233431324079616} is an apocalyptic number.

233431324079616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233431324079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371723543951760).

233431324079616 is an abundant number, since it is smaller than the sum of its proper divisors (510015763823904).

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

233431324079616 is a wasteful number, since it uses less digits than its factorization.

233431324079616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128606 (or 128587 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 233431324079616 in words is "two hundred thirty-three trillion, four hundred thirty-one billion, three hundred twenty-four million, seventy-nine thousand, six hundred sixteen".