98476427813841 has 675 divisors, whose sum is σ = 204522833943883. Its totient is φ = 45613302577920.

The previous prime is 98476427813831. The next prime is 98476427813867. The reversal of 98476427813841 is 14831872467489.

The square root of 98476427813841 is 9923529.

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

98476427813841 is a `hidden beast` number, since 9 + 8 + 47 + 6 + 427 + 81 + 3 + 84 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76668499163025 + 21807928650816 = 8756055^2 + 4669896^2 .

It is not a de Polignac number, because 98476427813841 - 2⁷ = 98476427813713 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 98476427813841.

It is not an unprimeable number, because it can be changed into a prime (98476427813831) by changing a digit.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 5182969884930 + ... + 5182969884948.

Almost surely, 2^{98476427813841} is an apocalyptic number.

98476427813841 is the 9923529-th square number.

98476427813841 is the 4961765-th centered octagonal number.

It is an amenable number.

98476427813841 is an abundant number, since it is smaller than the sum of its proper divisors (106046406130042).

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

98476427813841 is an frugal number, since it uses more digits than its factorization.

98476427813841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 57 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 98476427813841 in words is "ninety-eight trillion, four hundred seventy-six billion, four hundred twenty-seven million, eight hundred thirteen thousand, eight hundred forty-one".