98345302286400 has 1575 divisors, whose sum is σ = 394033212376881. Its totient is φ = 24059558615040.

The previous prime is 98345302286393. The next prime is 98345302286417. The reversal of 98345302286400 is 468220354389.

The square root of 98345302286400 is 9916920.

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

98345302286400 is a `hidden beast` number, since 9 + 8 + 3 + 4 + 5 + 3 + 0 + 228 + 6 + 400 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 96491957673024 + 1853344613376 = 9823032^2 + 1361376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 603345412719 + ... + 603345412881.

Almost surely, 2^{98345302286400} is an apocalyptic number.

98345302286400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98345302286400 is the 9916920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98345302286400

98345302286400 is an abundant number, since it is smaller than the sum of its proper divisors (295687910090481).

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

98345302286400 is an frugal number, since it uses more digits than its factorization.

98345302286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 98345302286400 in words is "ninety-eight trillion, three hundred forty-five billion, three hundred two million, two hundred eighty-six thousand, four hundred".