98357202950400 has 1215 divisors, whose sum is σ = 372017833732545. Its totient is φ = 24792213196800.

The previous prime is 98357202950389. The next prime is 98357202950411. The reversal of 98357202950400 is 405920275389.

The square root of 98357202950400 is 9917520.

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

98357202950400 is a `hidden beast` number, since 9 + 8 + 3 + 572 + 0 + 29 + 5 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (98357202950389) and next prime (98357202950411).

It can be written as a sum of positive squares in only one way, i.e., 35408593062144 + 62948609888256 = 5950512^2 + 7934016^2 .

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 134 ways as a sum of consecutive naturals, for example, 2287376812779 + ... + 2287376812821.

Almost surely, 2^{98357202950400} is an apocalyptic number.

98357202950400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98357202950400 is the 9917520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98357202950400

98357202950400 is an abundant number, since it is smaller than the sum of its proper divisors (273660630782145).

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

98357202950400 is an frugal number, since it uses more digits than its factorization.

98357202950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 98357202950400 in words is "ninety-eight trillion, three hundred fifty-seven billion, two hundred two million, nine hundred fifty thousand, four hundred".