98397435494400 has 1536 divisors, whose sum is σ = 385728885104640. Its totient is φ = 21658337280000.

The previous prime is 98397435494387. The next prime is 98397435494401. The reversal of 98397435494400 is 449453479389.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (98397435494401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 163722854100 + ... + 163722854700.

It is an arithmetic number, because the mean of its divisors is an integer number (251125576240).

Almost surely, 2^{98397435494400} 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 98397435494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192864442552320).

98397435494400 is an abundant number, since it is smaller than the sum of its proper divisors (287331449610240).

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

98397435494400 is a wasteful number, since it uses less digits than its factorization.

98397435494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 69.

The spelling of 98397435494400 in words is "ninety-eight trillion, three hundred ninety-seven billion, four hundred thirty-five million, four hundred ninety-four thousand, four hundred".