98344617246720 has 1728 divisors, whose sum is σ = 386977929287040. Its totient is φ = 23812959633408.

The previous prime is 98344617246719. The next prime is 98344617246761. The reversal of 98344617246720 is 2764271644389.

98344617246720 is a `hidden beast` number, since 9 + 8 + 3 + 4 + 4 + 617 + 2 + 4 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138708909726 + ... + 138708910434.

It is an arithmetic number, because the mean of its divisors is an integer number (223945560930).

Almost surely, 2^{98344617246720} is an apocalyptic number.

98344617246720 is a gapful number since it is divisible by the number (90) 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 98344617246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193488964643520).

98344617246720 is an abundant number, since it is smaller than the sum of its proper divisors (288633312040320).

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

98344617246720 is an frugal number, since it uses more digits than its factorization.

98344617246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 98344617246720 in words is "ninety-eight trillion, three hundred forty-four billion, six hundred seventeen million, two hundred forty-six thousand, seven hundred twenty".