318118993920 has 1792 divisors, whose sum is σ = 1453237632000. Its totient is φ = 64210599936.

The previous prime is 318118993903. The next prime is 318118993937. The reversal of 318118993920 is 29399811813.

It is an interprime number because it is at equal distance from previous prime (318118993903) and next prime (318118993937).

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2918522826 + ... + 2918522934.

It is an arithmetic number, because the mean of its divisors is an integer number (810958500).

Almost surely, 2^318118993920 is an apocalyptic number.

318118993920 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 318118993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726618816000).

318118993920 is an abundant number, since it is smaller than the sum of its proper divisors (1135118638080).

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

318118993920 is a wasteful number, since it uses less digits than its factorization.

318118993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 318118993920 in words is "three hundred eighteen billion, one hundred eighteen million, nine hundred ninety-three thousand, nine hundred twenty".