318019944960 has 800 divisors, whose sum is σ = 1222421492160. Its totient is φ = 78774239232.

The previous prime is 318019944937. The next prime is 318019944961. The reversal of 318019944960 is 69449910813.

It is a happy number.

318019944960 is a `hidden beast` number, since 3 + 1 + 8 + 0 + 199 + 449 + 6 + 0 = 666.

It is a super-2 number, since 2×318019944960² (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 = 318019944897 and 318019944906.

It is not an unprimeable number, because it can be changed into a prime (318019944961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 208810759 + ... + 208812281.

Almost surely, 2^318019944960 is an apocalyptic number.

318019944960 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 318019944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611210746080).

318019944960 is an abundant number, since it is smaller than the sum of its proper divisors (904401547200).

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

318019944960 is a wasteful number, since it uses less digits than its factorization.

318019944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 318019944960 in words is "three hundred eighteen billion, nineteen million, nine hundred forty-four thousand, nine hundred sixty".