98120550564 has 243 divisors, whose sum is σ = 274090214307. Its totient is φ = 29590092288.

The previous prime is 98120550553. The next prime is 98120550599. The reversal of 98120550564 is 46505502189.

The square root of 98120550564 is 313242.

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

98120550564 is a `hidden beast` number, since 9 + 81 + 2 + 0 + 5 + 5 + 0 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45642904164 + 52477646400 = 213642^2 + 229080^2 .

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, 1182175267 + ... + 1182175349.

Almost surely, 2^98120550564 is an apocalyptic number.

98120550564 is the 313242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98120550564

98120550564 is an abundant number, since it is smaller than the sum of its proper divisors (175969663743).

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

98120550564 is a wasteful number, since it uses less digits than its factorization.

98120550564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 98120550564 in words is "ninety-eight billion, one hundred twenty million, five hundred fifty thousand, five hundred sixty-four".