9918186681312 has 360 divisors, whose sum is σ = 36541530410616. Its totient is φ = 2615785062912.

The previous prime is 9918186681283. The next prime is 9918186681317. The reversal of 9918186681312 is 2131866818199.

9918186681312 is a `hidden beast` number, since 9 + 9 + 181 + 8 + 66 + 81 + 312 = 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 a self number, because there is not a number n which added to its sum of digits gives 9918186681312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9918186681317) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1352398 + ... + 4654605.

Almost surely, 2^{9918186681312} 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 9918186681312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270765205308).

9918186681312 is an abundant number, since it is smaller than the sum of its proper divisors (26623343729304).

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

9918186681312 is a wasteful number, since it uses less digits than its factorization.

9918186681312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007052 (or 6007028 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The spelling of 9918186681312 in words is "nine trillion, nine hundred eighteen billion, one hundred eighty-six million, six hundred eighty-one thousand, three hundred twelve".