98114016 has 192 divisors, whose sum is σ = 346139136. Its totient is φ = 23500800.

The previous prime is 98113999. The next prime is 98114099. The reversal of 98114016 is 61041189.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95586 + ... + 96606.

It is an arithmetic number, because the mean of its divisors is an integer number (1802808).

Almost surely, 2^98114016 is an apocalyptic number.

98114016 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 98114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173069568).

98114016 is an abundant number, since it is smaller than the sum of its proper divisors (248025120).

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

98114016 is a wasteful number, since it uses less digits than its factorization.

98114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 98114016 is about 9905.2519402588. The cubic root of 98114016 is about 461.2223570217. Note that the first 3 decimals are identical.

The spelling of 98114016 in words is "ninety-eight million, one hundred fourteen thousand, sixteen".