98550144 has 288 divisors, whose sum is σ = 359770320. Its totient is φ = 25344000.

The previous prime is 98550097. The next prime is 98550163. The reversal of 98550144 is 44105589.

98550144 is a `hidden beast` number, since 98 + 550 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 98550099 and 98550108.

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 35 ways as a sum of consecutive naturals, for example, 975694 + ... + 975794.

Almost surely, 2^98550144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179885160).

98550144 is an abundant number, since it is smaller than the sum of its proper divisors (261220176).

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

98550144 is a wasteful number, since it uses less digits than its factorization.

98550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 98550144 is about 9927.2425174366. The cubic root of 98550144 is about 461.9047422653.

The spelling of 98550144 in words is "ninety-eight million, five hundred fifty thousand, one hundred forty-four".