318390829056 has 320 divisors, whose sum is σ = 959180745600. Its totient is φ = 105244655616.

The previous prime is 318390829051. The next prime is 318390829153. The reversal of 318390829056 is 650928093813.

318390829056 is a `hidden beast` number, since 318 + 39 + 0 + 8 + 290 + 5 + 6 = 666.

It is a super-2 number, since 2×318390829056² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 318390828993 and 318390829011.

It is not an unprimeable number, because it can be changed into a prime (318390829051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 368934481 + ... + 368935343.

It is an arithmetic number, because the mean of its divisors is an integer number (2997439830).

Almost surely, 2^318390829056 is an apocalyptic number.

318390829056 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 318390829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479590372800).

318390829056 is an abundant number, since it is smaller than the sum of its proper divisors (640789916544).

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

318390829056 is an frugal number, since it uses more digits than its factorization.

318390829056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 318390829056 in words is "three hundred eighteen billion, three hundred ninety million, eight hundred twenty-nine thousand, fifty-six".