98717241249 has 27 divisors (see below), whose sum is σ = 156749347027. Its totient is φ = 59822347200.

The previous prime is 98717241193. The next prime is 98717241257. The reversal of 98717241249 is 94214271789.

The square root of 98717241249 is 314193.

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

98717241249 is a `hidden beast` number, since 98 + 71 + 7 + 241 + 249 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43511039649 + 55206201600 = 208593^2 + 234960^2 .

It is a de Polignac number, because none of the positive numbers 2^k-98717241249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 98717241195 and 98717241204.

It is not an unprimeable number, because it can be changed into a prime (98717241349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10363609 + ... + 10373129.

Almost surely, 2^98717241249 is an apocalyptic number.

98717241249 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

98717241249 is the 314193-rd square number.

98717241249 is the 157097-th centered octagonal number.

It is an amenable number.

98717241249 is a deficient number, since it is larger than the sum of its proper divisors (58032105778).

98717241249 is an frugal number, since it uses more digits than its factorization.

98717241249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19070 (or 9535 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 98717241249 in words is "ninety-eight billion, seven hundred seventeen million, two hundred forty-one thousand, two hundred forty-nine".