307116408768 has 896 divisors, whose sum is σ = 1011674603520. Its totient is φ = 81254154240.

The previous prime is 307116408763. The next prime is 307116408769. The reversal of 307116408768 is 867804611703.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 307116408768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307116408763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3166148496 + ... + 3166148592.

It is an arithmetic number, because the mean of its divisors is an integer number (1129101120).

Almost surely, 2^307116408768 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 307116408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505837301760).

307116408768 is an abundant number, since it is smaller than the sum of its proper divisors (704558194752).

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

307116408768 is a wasteful number, since it uses less digits than its factorization.

307116408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 307116408768 in words is "three hundred seven billion, one hundred sixteen million, four hundred eight thousand, seven hundred sixty-eight".