319882171733968 has 80 divisors (see below), whose sum is σ = 656279043220800. Its totient is φ = 150620479257600.

The previous prime is 319882171733951. The next prime is 319882171733977. The reversal of 319882171733968 is 869337171288913.

It is a super-2 number, since 2×319882171733968² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a junction number, because it is equal to n+sod(n) for n = 319882171733894 and 319882171733903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296659228 + ... + 297735556.

It is an arithmetic number, because the mean of its divisors is an integer number (8203488040260).

Almost surely, 2^{319882171733968} is an apocalyptic number.

319882171733968 is a gapful number since it is divisible by the number (38) 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 319882171733968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328139521610400).

319882171733968 is an abundant number, since it is smaller than the sum of its proper divisors (336396871486832).

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

319882171733968 is a wasteful number, since it uses less digits than its factorization.

319882171733968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082180 (or 1082174 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 76.

The spelling of 319882171733968 in words is "three hundred nineteen trillion, eight hundred eighty-two billion, one hundred seventy-one million, seven hundred thirty-three thousand, nine hundred sixty-eight".