98453764304896 has 1664 divisors, whose sum is σ = 295332703948800. Its totient is φ = 31534539079680.

The previous prime is 98453764304873. The next prime is 98453764304899. The reversal of 98453764304896 is 69840346735489.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98453764304899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107131407925 + ... + 107131408843.

Almost surely, 2^{98453764304896} 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 98453764304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147666351974400).

98453764304896 is an abundant number, since it is smaller than the sum of its proper divisors (196878939643904).

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

98453764304896 is a wasteful number, since it uses less digits than its factorization.

98453764304896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 76.

The spelling of 98453764304896 in words is "ninety-eight trillion, four hundred fifty-three billion, seven hundred sixty-four million, three hundred four thousand, eight hundred ninety-six".