318500400216600 has 1728 divisors, whose sum is σ = 1342155813672960. Its totient is φ = 66223750348800.

The previous prime is 318500400216547. The next prime is 318500400216629. The reversal of 318500400216600 is 6612004005813.

It is a happy number.

318500400216600 is a `hidden beast` number, since 3 + 1 + 8 + 5 + 0 + 0 + 40 + 0 + 2 + 1 + 6 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 133992594612 + ... + 133992596988.

It is an arithmetic number, because the mean of its divisors is an integer number (776710540320).

Almost surely, 2^{318500400216600} is an apocalyptic number.

318500400216600 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 318500400216600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671077906836480).

318500400216600 is an abundant number, since it is smaller than the sum of its proper divisors (1023655413456360).

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

318500400216600 is a wasteful number, since it uses less digits than its factorization.

318500400216600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 318500400216600 in words is "three hundred eighteen trillion, five hundred billion, four hundred million, two hundred sixteen thousand, six hundred".