3118984196328 has 768 divisors, whose sum is σ = 11940331253760. Its totient is φ = 708922368000.

The previous prime is 3118984196257. The next prime is 3118984196333. The reversal of 3118984196328 is 8236914898113.

3118984196328 is a `hidden beast` number, since 3 + 1 + 189 + 8 + 41 + 96 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187306803 + ... + 187323453.

It is an arithmetic number, because the mean of its divisors is an integer number (15547306320).

Almost surely, 2^{3118984196328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3118984196328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5970165626880).

3118984196328 is an abundant number, since it is smaller than the sum of its proper divisors (8821347057432).

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

3118984196328 is a wasteful number, since it uses less digits than its factorization.

3118984196328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16830 (or 16823 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 3118984196328 in words is "three trillion, one hundred eighteen billion, nine hundred eighty-four million, one hundred ninety-six thousand, three hundred twenty-eight".