318416861952 has 216 divisors, whose sum is σ = 1104451362560. Its totient is φ = 86187939840.

The previous prime is 318416861951. The next prime is 318416861953. The reversal of 318416861952 is 259168614813.

It is a happy number.

318416861952 is a `hidden beast` number, since 3 + 1 + 8 + 4 + 16 + 8 + 619 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (318416861951) and next prime (318416861953).

It is not an unprimeable number, because it can be changed into a prime (318416861951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213124 + ... + 825987.

Almost surely, 2^318416861952 is an apocalyptic number.

318416861952 is a gapful number since it is divisible by the number (32) 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 318416861952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552225681280).

318416861952 is an abundant number, since it is smaller than the sum of its proper divisors (786034500608).

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

318416861952 is a wasteful number, since it uses less digits than its factorization.

318416861952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039159 (or 1039142 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 318416861952 in words is "three hundred eighteen billion, four hundred sixteen million, eight hundred sixty-one thousand, nine hundred fifty-two".