98624687616 has 960 divisors, whose sum is σ = 376351911936. Its totient is φ = 25082265600.

The previous prime is 98624687599. The next prime is 98624687669. The reversal of 98624687616 is 61678642689.

98624687616 is a `hidden beast` number, since 9 + 8 + 6 + 2 + 4 + 6 + 8 + 7 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 350977396 + ... + 350977676.

Almost surely, 2^98624687616 is an apocalyptic number.

98624687616 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 98624687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188175955968).

98624687616 is an abundant number, since it is smaller than the sum of its proper divisors (277727224320).

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

98624687616 is a wasteful number, since it uses less digits than its factorization.

98624687616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 337 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 98624687616 in words is "ninety-eight billion, six hundred twenty-four million, six hundred eighty-seven thousand, six hundred sixteen".