319268682216 has 256 divisors, whose sum is σ = 1014568416000. Its totient is φ = 92130877440.

The previous prime is 319268682199. The next prime is 319268682241. The reversal of 319268682216 is 612286862913.

319268682216 is a `hidden beast` number, since 319 + 26 + 86 + 8 + 221 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4998256 + ... + 5061728.

It is an arithmetic number, because the mean of its divisors is an integer number (3963157875).

Almost surely, 2^319268682216 is an apocalyptic number.

319268682216 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 319268682216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507284208000).

319268682216 is an abundant number, since it is smaller than the sum of its proper divisors (695299733784).

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

319268682216 is a wasteful number, since it uses less digits than its factorization.

319268682216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63601 (or 63591 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 319268682216 in words is "three hundred nineteen billion, two hundred sixty-eight million, six hundred eighty-two thousand, two hundred sixteen".