98565960348 has 288 divisors, whose sum is σ = 275526451200. Its totient is φ = 30760067520.

The previous prime is 98565960343. The next prime is 98565960359. The reversal of 98565960348 is 84306956589.

98565960348 is a `hidden beast` number, since 9 + 8 + 5 + 6 + 596 + 0 + 34 + 8 = 666.

It is a super-2 number, since 2×98565960348² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98565960343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164550553 + ... + 164551151.

Almost surely, 2^98565960348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98565960348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137763225600).

98565960348 is an abundant number, since it is smaller than the sum of its proper divisors (176960490852).

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

98565960348 is a wasteful number, since it uses less digits than its factorization.

98565960348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 98565960348 in words is "ninety-eight billion, five hundred sixty-five million, nine hundred sixty thousand, three hundred forty-eight".