98719036416 has 1760 divisors, whose sum is σ = 419443073280. Its totient is φ = 22295347200.

The previous prime is 98719036411. The next prime is 98719036433. The reversal of 98719036416 is 61463091789.

98719036416 is a `hidden beast` number, since 9 + 8 + 7 + 190 + 36 + 416 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98719036411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2407781356 + ... + 2407781396.

It is an arithmetic number, because the mean of its divisors is an integer number (238319928).

Almost surely, 2^98719036416 is an apocalyptic number.

98719036416 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 98719036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209721536640).

98719036416 is an abundant number, since it is smaller than the sum of its proper divisors (320724036864).

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

98719036416 is a wasteful number, since it uses less digits than its factorization.

98719036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 98719036416 in words is "ninety-eight billion, seven hundred nineteen million, thirty-six thousand, four hundred sixteen".