309916443816 has 1152 divisors, whose sum is σ = 1147102145280. Its totient is φ = 77713219584.

The previous prime is 309916443797. The next prime is 309916443821. The reversal of 309916443816 is 618344619903.

309916443816 is a `hidden beast` number, since 30 + 9 + 9 + 164 + 438 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1973990010 + ... + 1973990166.

It is an arithmetic number, because the mean of its divisors is an integer number (995748390).

Almost surely, 2^309916443816 is an apocalyptic number.

309916443816 is a gapful number since it is divisible by the number (36) 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 309916443816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573551072640).

309916443816 is an abundant number, since it is smaller than the sum of its proper divisors (837185701464).

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

309916443816 is a wasteful number, since it uses less digits than its factorization.

309916443816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 309916443816 in words is "three hundred nine billion, nine hundred sixteen million, four hundred forty-three thousand, eight hundred sixteen".