98428304578816 has 81 divisors (see below), whose sum is σ = 197053364085123. Its totient is φ = 49068986695680.

The previous prime is 98428304578633. The next prime is 98428304578829. The reversal of 98428304578816 is 61887540382489.

The square root of 98428304578816 is 9921104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 434143938816 + 97994160640000 = 658896^2 + 9899200^2 .

It is a super-2 number, since 2×98428304578816² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71273210446 + ... + 71273211826.

It is a 1-persistent number, because it is pandigital, but 2⋅98428304578816 = 196856609157632 is not.

Almost surely, 2^{98428304578816} is an apocalyptic number.

98428304578816 is the 9921104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98428304578816

98428304578816 is an abundant number, since it is smaller than the sum of its proper divisors (98625059506307).

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

98428304578816 is an frugal number, since it uses more digits than its factorization.

98428304578816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 73.

The spelling of 98428304578816 in words is "ninety-eight trillion, four hundred twenty-eight billion, three hundred four million, five hundred seventy-eight thousand, eight hundred sixteen".