98988431199849 has 135 divisors (see below), whose sum is σ = 158192548930119. Its totient is φ = 61677657165600.

The previous prime is 98988431199821. The next prime is 98988431199893. The reversal of 98988431199849 is 94899113488989.

The square root of 98988431199849 is 9949293.

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

98988431199849 is a `hidden beast` number, since 9 + 8 + 9 + 8 + 8 + 431 + 1 + 99 + 84 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85371002767449 + 13617428432400 = 9239643^2 + 3690180^2 .

It is not a de Polignac number, because 98988431199849 - 2⁹ = 98988431199337 is a prime.

It is a super-2 number, since 2×98988431199849² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98988431199899) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 141210315199 + ... + 141210315899.

Almost surely, 2^{98988431199849} is an apocalyptic number.

98988431199849 is the 9949293-rd square number.

98988431199849 is the 4974647-th centered octagonal number.

It is an amenable number.

98988431199849 is a deficient number, since it is larger than the sum of its proper divisors (59204117730270).

98988431199849 is an frugal number, since it uses more digits than its factorization.

98988431199849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 806 counting only the distinct ones).

The product of its digits is 11609505792, while the sum is 90.

The spelling of 98988431199849 in words is "ninety-eight trillion, nine hundred eighty-eight billion, four hundred thirty-one million, one hundred ninety-nine thousand, eight hundred forty-nine".