98266679300736 has 768 divisors, whose sum is σ = 305647230470400. Its totient is φ = 31388411658240.

The previous prime is 98266679300711. The next prime is 98266679300749. The reversal of 98266679300736 is 63700397666289.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80348878621 + ... + 80348879843.

It is an arithmetic number, because the mean of its divisors is an integer number (397978164675).

Almost surely, 2^{98266679300736} is an apocalyptic number.

98266679300736 is a gapful number since it is divisible by the number (96) 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 98266679300736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152823615235200).

98266679300736 is an abundant number, since it is smaller than the sum of its proper divisors (207380551169664).

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

98266679300736 is a wasteful number, since it uses less digits than its factorization.

98266679300736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 98266679300736 in words is "ninety-eight trillion, two hundred sixty-six billion, six hundred seventy-nine million, three hundred thousand, seven hundred thirty-six".