98312348304 has 405 divisors, whose sum is σ = 308519717233. Its totient is φ = 29217656832.

The previous prime is 98312348291. The next prime is 98312348317. The reversal of 98312348304 is 40384321389.

The square root of 98312348304 is 313548.

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 (98312348291) and next prime (98312348317).

It can be written as a sum of positive squares in 13 ways, for example, as 5409308304 + 92903040000 = 73548^2 + 304800^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 98312348304.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1854949942 + ... + 1854949994.

Almost surely, 2^98312348304 is an apocalyptic number.

98312348304 is the 313548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98312348304

98312348304 is an abundant number, since it is smaller than the sum of its proper divisors (210207368929).

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

98312348304 is a wasteful number, since it uses less digits than its factorization.

98312348304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 98312348304 in words is "ninety-eight billion, three hundred twelve million, three hundred forty-eight thousand, three hundred four".