98732187021312 has 1248 divisors, whose sum is σ = 348142778081280. Its totient is φ = 27667888865280.

The previous prime is 98732187021301. The next prime is 98732187021313. The reversal of 98732187021312 is 21312078123789.

98732187021312 is a `hidden beast` number, since 98 + 7 + 3 + 218 + 7 + 0 + 21 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-3 number, since 3×98732187021312³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98732187021313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6818984889 + ... + 6818999367.

It is an arithmetic number, because the mean of its divisors is an integer number (278960559360).

Almost surely, 2^{98732187021312} 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 98732187021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174071389040640).

98732187021312 is an abundant number, since it is smaller than the sum of its proper divisors (249410591059968).

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

98732187021312 is a wasteful number, since it uses less digits than its factorization.

98732187021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14579 (or 14545 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 98732187021312 in words is "ninety-eight trillion, seven hundred thirty-two billion, one hundred eighty-seven million, twenty-one thousand, three hundred twelve".