232280220268544 has 384 divisors, whose sum is σ = 569132141760000. Its totient is φ = 92564261830656.

The previous prime is 232280220268489. The next prime is 232280220268567. The reversal of 232280220268544 is 445862022082232.

It is a junction number, because it is equal to n+sod(n) for n = 232280220268492 and 232280220268501.

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 31 ways as a sum of consecutive naturals, for example, 5055151682 + ... + 5055197630.

It is an arithmetic number, because the mean of its divisors is an integer number (1482114952500).

Almost surely, 2^{232280220268544} 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 232280220268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284566070880000).

232280220268544 is an abundant number, since it is smaller than the sum of its proper divisors (336851921491456).

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

232280220268544 is a wasteful number, since it uses less digits than its factorization.

232280220268544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46341 (or 46321 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 50.

The spelling of 232280220268544 in words is "two hundred thirty-two trillion, two hundred eighty billion, two hundred twenty million, two hundred sixty-eight thousand, five hundred forty-four".