233443431043680 has 1152 divisors, whose sum is σ = 933552754928640. Its totient is φ = 48555738316800.

The previous prime is 233443431043597. The next prime is 233443431043709. The reversal of 233443431043680 is 86340134344332.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 760171765 + ... + 760478795.

It is an arithmetic number, because the mean of its divisors is an integer number (810375655320).

Almost surely, 2^{233443431043680} is an apocalyptic number.

233443431043680 is a gapful number since it is divisible by the number (20) 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 233443431043680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466776377464320).

233443431043680 is an abundant number, since it is smaller than the sum of its proper divisors (700109323884960).

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

233443431043680 is a wasteful number, since it uses less digits than its factorization.

233443431043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307156 (or 307137 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 48.

The spelling of 233443431043680 in words is "two hundred thirty-three trillion, four hundred forty-three billion, four hundred thirty-one million, forty-three thousand, six hundred eighty".