98643200027008 has 512 divisors, whose sum is σ = 247479208704000. Its totient is φ = 38130585698304.

The previous prime is 98643200026997. The next prime is 98643200027117. The reversal of 98643200027008 is 80072000234689.

It is a super-2 number, since 2×98643200027008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45269939263 + ... + 45269941441.

It is an arithmetic number, because the mean of its divisors is an integer number (483357829500).

Almost surely, 2^{98643200027008} 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 98643200027008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123739604352000).

98643200027008 is an abundant number, since it is smaller than the sum of its proper divisors (148836008676992).

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

98643200027008 is a wasteful number, since it uses less digits than its factorization.

98643200027008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 98643200027008 in words is "ninety-eight trillion, six hundred forty-three billion, two hundred million, twenty-seven thousand, eight".