232777101312 has 468 divisors, whose sum is σ = 807587516736. Its totient is φ = 64346849280.

The previous prime is 232777101311. The next prime is 232777101317. The reversal of 232777101312 is 213101777232.

232777101312 is a `hidden beast` number, since 2 + 3 + 277 + 71 + 0 + 1 + 312 = 666.

It is a super-2 number, since 2×232777101312² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (232777101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55994338 + ... + 55998494.

It is an arithmetic number, because the mean of its divisors is an integer number (1725614352).

Almost surely, 2^232777101312 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 232777101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403793758368).

232777101312 is an abundant number, since it is smaller than the sum of its proper divisors (574810415424).

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

232777101312 is a wasteful number, since it uses less digits than its factorization.

232777101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

Adding to 232777101312 its reverse (213101777232), we get a palindrome (445878878544).

The spelling of 232777101312 in words is "two hundred thirty-two billion, seven hundred seventy-seven million, one hundred one thousand, three hundred twelve".