785309611472712 has 192 divisors, whose sum is σ = 2217357388646400. Its totient is φ = 260384446048320.

The previous prime is 785309611472647. The next prime is 785309611472773. The reversal of 785309611472712 is 217274116903587.

785309611472712 is a `hidden beast` number, since 7 + 8 + 5 + 3 + 0 + 9 + 611 + 4 + 7 + 2 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×785309611472712² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 785309611472712.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 281090673 + ... + 283870719.

It is an arithmetic number, because the mean of its divisors is an integer number (11548736399200).

It is a 1-persistent number, because it is pandigital, but 2⋅785309611472712 = 1570619222945424 is not.

Almost surely, 2^{785309611472712} is an apocalyptic number.

785309611472712 is a gapful number since it is divisible by the number (72) 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 785309611472712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108678694323200).

785309611472712 is an abundant number, since it is smaller than the sum of its proper divisors (1432047777173688).

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

785309611472712 is a wasteful number, since it uses less digits than its factorization.

785309611472712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780838 (or 2780822 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 785309611472712 in words is "seven hundred eighty-five trillion, three hundred nine billion, six hundred eleven million, four hundred seventy-two thousand, seven hundred twelve".