306772656486912 has 1920 divisors, whose sum is σ = 1155703510241280. Its totient is φ = 78921229271040.

The previous prime is 306772656486869. The next prime is 306772656486913. The reversal of 306772656486912 is 219684656277603.

It is a happy number.

306772656486912 is a `hidden beast` number, since 3 + 0 + 6 + 7 + 7 + 2 + 6 + 56 + 486 + 91 + 2 = 666.

It is a super-2 number, since 2×306772656486912² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (306772656486913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 788618654014 + ... + 788618654402.

It is an arithmetic number, because the mean of its divisors is an integer number (601928911584).

It is a 1-persistent number, because it is pandigital, but 2⋅306772656486912 = 613545312973824 is not.

Almost surely, 2^{306772656486912} is an apocalyptic number.

306772656486912 is a gapful number since it is divisible by the number (32) 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 306772656486912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577851755120640).

306772656486912 is an abundant number, since it is smaller than the sum of its proper divisors (848930853754368).

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

306772656486912 is a wasteful number, since it uses less digits than its factorization.

306772656486912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 306772656486912 in words is "three hundred six trillion, seven hundred seventy-two billion, six hundred fifty-six million, four hundred eighty-six thousand, nine hundred twelve".