232861947120 has 320 divisors, whose sum is σ = 877315276800. Its totient is φ = 56301788160.

The previous prime is 232861947089. The next prime is 232861947121. The reversal of 232861947120 is 21749168232.

232861947120 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 619 + 4 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232861947121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9087286 + ... + 9112874.

It is an arithmetic number, because the mean of its divisors is an integer number (2741610240).

Almost surely, 2^232861947120 is an apocalyptic number.

232861947120 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 232861947120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438657638400).

232861947120 is an abundant number, since it is smaller than the sum of its proper divisors (644453329680).

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

232861947120 is a wasteful number, since it uses less digits than its factorization.

232861947120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26005 (or 25993 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 232861947120 in words is "two hundred thirty-two billion, eight hundred sixty-one million, nine hundred forty-seven thousand, one hundred twenty".