988318213489152 has 3200 divisors, whose sum is σ = 3858787871769600. Its totient is φ = 246195479642112.

The previous prime is 988318213489151. The next prime is 988318213489213. The reversal of 988318213489152 is 251984312813889.

988318213489152 is a `hidden beast` number, since 9 + 8 + 8 + 3 + 1 + 82 + 13 + 489 + 1 + 52 = 666.

It is a super-2 number, since 2×988318213489152² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (988318213489151) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 1305572276358 + ... + 1305572277114.

It is an arithmetic number, because the mean of its divisors is an integer number (1205871209928).

Almost surely, 2^{988318213489152} is an apocalyptic number.

988318213489152 is a gapful number since it is divisible by the number (92) 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 988318213489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929393935884800).

988318213489152 is an abundant number, since it is smaller than the sum of its proper divisors (2870469658280448).

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

988318213489152 is an equidigital number, since it uses as much as digits as its factorization.

988318213489152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 894 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 72.

The spelling of 988318213489152 in words is "nine hundred eighty-eight trillion, three hundred eighteen billion, two hundred thirteen million, four hundred eighty-nine thousand, one hundred fifty-two".