98355089664 has 216 divisors, whose sum is σ = 315929654040. Its totient is φ = 29219291136.

The previous prime is 98355089617. The next prime is 98355089713. The reversal of 98355089664 is 46698055389.

98355089664 is a `hidden beast` number, since 9 + 8 + 35 + 508 + 96 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1459851264 + 96895238400 = 38208^2 + 311280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811992 + ... + 925224.

Almost surely, 2^98355089664 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 98355089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157964827020).

98355089664 is an abundant number, since it is smaller than the sum of its proper divisors (217574564376).

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

98355089664 is a wasteful number, since it uses less digits than its factorization.

98355089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113297 (or 113280 counting only the distinct ones).

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

The spelling of 98355089664 in words is "ninety-eight billion, three hundred fifty-five million, eighty-nine thousand, six hundred sixty-four".