98289628416 has 864 divisors, whose sum is σ = 367251857280. Its totient is φ = 25751126016.

The previous prime is 98289628361. The next prime is 98289628429. The reversal of 98289628416 is 61482698289.

98289628416 is a `hidden beast` number, since 9 + 82 + 89 + 62 + 8 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247580730 + ... + 247581126.

It is an arithmetic number, because the mean of its divisors is an integer number (425060020).

Almost surely, 2^98289628416 is an apocalyptic number.

98289628416 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 98289628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183625928640).

98289628416 is an abundant number, since it is smaller than the sum of its proper divisors (268962228864).

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

98289628416 is a wasteful number, since it uses less digits than its factorization.

98289628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 469 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 98289628416 in words is "ninety-eight billion, two hundred eighty-nine million, six hundred twenty-eight thousand, four hundred sixteen".