338317096320 has 768 divisors, whose sum is σ = 1404492410880. Its totient is φ = 73408757760.

The previous prime is 338317096171. The next prime is 338317096331. The reversal of 338317096320 is 23690713833.

338317096320 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 1 + 7 + 0 + 9 + 632 + 0 = 666.

It is a super-2 number, since 2×338317096320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66243207 + ... + 66248313.

It is an arithmetic number, because the mean of its divisors is an integer number (1828766160).

Almost surely, 2^338317096320 is an apocalyptic number.

338317096320 is a gapful number since it is divisible by the number (30) 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 338317096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702246205440).

338317096320 is an abundant number, since it is smaller than the sum of its proper divisors (1066175314560).

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

338317096320 is a wasteful number, since it uses less digits than its factorization.

338317096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 338317096320 in words is "three hundred thirty-eight billion, three hundred seventeen million, ninety-six thousand, three hundred twenty".