98049144384 has 105 divisors (see below), whose sum is σ = 290715226417. Its totient is φ = 32675533056.

The previous prime is 98049144379. The next prime is 98049144397. The reversal of 98049144384 is 48344194089.

The square root of 98049144384 is 313128.

It is a perfect power (a square), and thus also a powerful number.

98049144384 is a `hidden beast` number, since 9 + 80 + 49 + 1 + 443 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2196984384 + 95852160000 = 46872^2 + 309600^2 .

It is a super-2 number, since 2×98049144384² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 98049144384.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 22543042 + ... + 22547390.

Almost surely, 2^98049144384 is an apocalyptic number.

98049144384 is the 313128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98049144384

98049144384 is an abundant number, since it is smaller than the sum of its proper divisors (192666082033).

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

98049144384 is an frugal number, since it uses more digits than its factorization.

98049144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 98049144384 in words is "ninety-eight billion, forty-nine million, one hundred forty-four thousand, three hundred eighty-four".