98762571940096 has 81 divisors (see below), whose sum is σ = 197960671375831. Its totient is φ = 49176405481472.

The previous prime is 98762571940093. The next prime is 98762571940099. The reversal of 98762571940096 is 69004917526789.

The square root of 98762571940096 is 9937936.

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

It is an interprime number because it is at equal distance from previous prime (98762571940093) and next prime (98762571940099).

It can be written as a sum of positive squares in 4 ways, for example, as 2502926500096 + 96259645440000 = 1582064^2 + 9811200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98762571940093) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42772875390 + ... + 42772877698.

Almost surely, 2^{98762571940096} is an apocalyptic number.

98762571940096 is the 9937936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98762571940096

98762571940096 is an abundant number, since it is smaller than the sum of its proper divisors (99198099435735).

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

98762571940096 is an frugal number, since it uses more digits than its factorization.

98762571940096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 73.

The spelling of 98762571940096 in words is "ninety-eight trillion, seven hundred sixty-two billion, five hundred seventy-one million, nine hundred forty thousand, ninety-six".