98612878298112 has 1056 divisors, whose sum is σ = 318507847537152. Its totient is φ = 30393686163456.

The previous prime is 98612878298041. The next prime is 98612878298119. The reversal of 98612878298112 is 21189287821689.

98612878298112 is a `hidden beast` number, since 98 + 61 + 2 + 87 + 8 + 298 + 112 = 666.

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 (98612878298119) 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 95 ways as a sum of consecutive naturals, for example, 34516231788 + ... + 34516234644.

Almost surely, 2^{98612878298112} is an apocalyptic number.

98612878298112 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 98612878298112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159253923768576).

98612878298112 is an abundant number, since it is smaller than the sum of its proper divisors (219894969239040).

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

98612878298112 is a wasteful number, since it uses less digits than its factorization.

98612878298112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3085 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 72.

The spelling of 98612878298112 in words is "ninety-eight trillion, six hundred twelve billion, eight hundred seventy-eight million, two hundred ninety-eight thousand, one hundred twelve".