98204849892864 has 960 divisors, whose sum is σ = 337104641922048. Its totient is φ = 27130650624000.

The previous prime is 98204849892847. The next prime is 98204849892883. The reversal of 98204849892864 is 46829894840289.

98204849892864 is a `hidden beast` number, since 9 + 8 + 2 + 0 + 48 + 498 + 9 + 2 + 86 + 4 = 666.

98204849892864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30814196679 + ... + 30814199865.

Almost surely, 2^{98204849892864} 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 98204849892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168552320961024).

98204849892864 is an abundant number, since it is smaller than the sum of its proper divisors (238899792029184).

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

98204849892864 is a wasteful number, since it uses less digits than its factorization.

98204849892864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 4586471424, while the sum is 81.

The spelling of 98204849892864 in words is "ninety-eight trillion, two hundred four billion, eight hundred forty-nine million, eight hundred ninety-two thousand, eight hundred sixty-four".