98764820648928 has 432 divisors, whose sum is σ = 335460073306176. Its totient is φ = 27466613637120.

The previous prime is 98764820648881. The next prime is 98764820648983. The reversal of 98764820648928 is 82984602846789.

98764820648928 is a `hidden beast` number, since 9 + 8 + 7 + 6 + 482 + 0 + 6 + 48 + 92 + 8 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 250333225 + ... + 250727447.

It is an arithmetic number, because the mean of its divisors is an integer number (776527947468).

Almost surely, 2^{98764820648928} is an apocalyptic number.

98764820648928 is a gapful number since it is divisible by the number (98) 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 98764820648928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167730036653088).

98764820648928 is an abundant number, since it is smaller than the sum of its proper divisors (236695252657248).

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

98764820648928 is a wasteful number, since it uses less digits than its factorization.

98764820648928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394727 (or 394709 counting only the distinct ones).

The product of its (nonzero) digits is 5350883328, while the sum is 81.

The spelling of 98764820648928 in words is "ninety-eight trillion, seven hundred sixty-four billion, eight hundred twenty million, six hundred forty-eight thousand, nine hundred twenty-eight".