98609135616 has 336 divisors, whose sum is σ = 302660832320. Its totient is φ = 32105299968.

The previous prime is 98609135563. The next prime is 98609135617. The reversal of 98609135616 is 61653190689.

98609135616 is a `hidden beast` number, since 9 + 8 + 6 + 0 + 9 + 13 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (98609135617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2293235691 + ... + 2293235733.

Almost surely, 2^98609135616 is an apocalyptic number.

98609135616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98609135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151330416160).

98609135616 is an abundant number, since it is smaller than the sum of its proper divisors (204051696704).

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

98609135616 is an frugal number, since it uses more digits than its factorization.

98609135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 98609135616 in words is "ninety-eight billion, six hundred nine million, one hundred thirty-five thousand, six hundred sixteen".