232285888823040 has 2304 divisors, whose sum is σ = 977773831372800. Its totient is φ = 51674244710400.

The previous prime is 232285888823003. The next prime is 232285888823047. The reversal of 232285888823040 is 40328888582232.

232285888823040 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 8 + 588 + 8 + 8 + 2 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232285888823047) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 31016939616 + ... + 31016947104.

It is an arithmetic number, because the mean of its divisors is an integer number (424381003200).

Almost surely, 2^{232285888823040} is an apocalyptic number.

232285888823040 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 232285888823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488886915686400).

232285888823040 is an abundant number, since it is smaller than the sum of its proper divisors (745487942549760).

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

232285888823040 is a wasteful number, since it uses less digits than its factorization.

232285888823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 232285888823040 in words is "two hundred thirty-two trillion, two hundred eighty-five billion, eight hundred eighty-eight million, eight hundred twenty-three thousand, forty".