98946144 has 192 divisors, whose sum is σ = 326592000. Its totient is φ = 28869120.

The previous prime is 98946143. The next prime is 98946149. The reversal of 98946144 is 44164989.

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

It is a self number, because there is not a number n which added to its sum of digits gives 98946144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98946143) by changing a digit.

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, 275437 + ... + 275795.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^98946144 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 98946144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

98946144 is an abundant number, since it is smaller than the sum of its proper divisors (227645856).

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

98946144 is a wasteful number, since it uses less digits than its factorization.

98946144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 98946144 is about 9947.1676370714. The cubic root of 98946144 is about 462.5225997235.

The spelling of 98946144 in words is "ninety-eight million, nine hundred forty-six thousand, one hundred forty-four".