180806246712 has 768 divisors, whose sum is σ = 661118976000. Its totient is φ = 44703539712.

The previous prime is 180806246653. The next prime is 180806246771. The reversal of 180806246712 is 217642608081.

180806246712 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 0 + 624 + 6 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (180806246653) and next prime (180806246771).

It is a super-2 number, since 2×180806246712² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 810790233 + ... + 810790455.

It is an arithmetic number, because the mean of its divisors is an integer number (860832000).

Almost surely, 2^180806246712 is an apocalyptic number.

180806246712 is a gapful number since it is divisible by the number (12) 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 180806246712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330559488000).

180806246712 is an abundant number, since it is smaller than the sum of its proper divisors (480312729288).

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

180806246712 is a wasteful number, since it uses less digits than its factorization.

180806246712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 180806246712 in words is "one hundred eighty billion, eight hundred six million, two hundred forty-six thousand, seven hundred twelve".