180628331210831 has 64 divisors (see below), whose sum is σ = 210547814400000. Its totient is φ = 151770680156160.

The previous prime is 180628331210779. The next prime is 180628331210893. The reversal of 180628331210831 is 138012133826081.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-180628331210831 is a prime.

It is a super-2 number, since 2×180628331210831² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180628331212831) 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 63 ways as a sum of consecutive naturals, for example, 93541340936 + ... + 93541342866.

It is an arithmetic number, because the mean of its divisors is an integer number (3289809600000).

Almost surely, 2^{180628331210831} is an apocalyptic number.

180628331210831 is a deficient number, since it is larger than the sum of its proper divisors (29919483189169).

180628331210831 is a wasteful number, since it uses less digits than its factorization.

180628331210831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092.

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 180628331210831 in words is "one hundred eighty trillion, six hundred twenty-eight billion, three hundred thirty-one million, two hundred ten thousand, eight hundred thirty-one".