318945114600 has 384 divisors, whose sum is σ = 1188781056000. Its totient is φ = 69193313280.

The previous prime is 318945114589. The next prime is 318945114671. The reversal of 318945114600 is 6411549813.

It is a super-2 number, since 2×318945114600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7164009 + ... + 7208391.

It is an arithmetic number, because the mean of its divisors is an integer number (3095784000).

Almost surely, 2^318945114600 is an apocalyptic number.

318945114600 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 318945114600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594390528000).

318945114600 is an abundant number, since it is smaller than the sum of its proper divisors (869835941400).

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

318945114600 is a wasteful number, since it uses less digits than its factorization.

318945114600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44497 (or 44488 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 318945114600 in words is "three hundred eighteen billion, nine hundred forty-five million, one hundred fourteen thousand, six hundred".