98425257984 has 405 divisors, whose sum is σ = 307224342243. Its totient is φ = 30358831104.

The previous prime is 98425257979. The next prime is 98425257991. The reversal of 98425257984 is 48975252489.

The square root of 98425257984 is 313728.

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

98425257984 is a `hidden beast` number, since 9 + 8 + 4 + 2 + 52 + 579 + 8 + 4 = 666.

It is a super-3 number, since 3×98425257984³ (a number of 34 digits) contains 333 as substring.

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 26 ways as a sum of consecutive naturals, for example, 2288959467 + ... + 2288959509.

Almost surely, 2^98425257984 is an apocalyptic number.

98425257984 is the 313728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98425257984

98425257984 is an abundant number, since it is smaller than the sum of its proper divisors (208799084259).

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

98425257984 is an equidigital number, since it uses as much as digits as its factorization.

98425257984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 67 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

It can be divided in two parts, 98425257 and 984, that added together give a square (98426241 = 9921²).

The spelling of 98425257984 in words is "ninety-eight billion, four hundred twenty-five million, two hundred fifty-seven thousand, nine hundred eighty-four".