98848792406529 has 135 divisors (see below), whose sum is σ = 168145627148499. Its totient is φ = 57825850531680.

The previous prime is 98848792406503. The next prime is 98848792406561. The reversal of 98848792406529 is 92560429784889.

The square root of 98848792406529 is 9942273.

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

98848792406529 is a `hidden beast` number, since 9 + 8 + 8 + 4 + 87 + 9 + 2 + 4 + 0 + 6 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51833908978929 + 47014883427600 = 7199577^2 + 6856740^2 .

It is a de Polignac number, because none of the positive numbers 2^k-98848792406529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (98848792456529) 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, 28544264052 + ... + 28544267514.

Almost surely, 2^{98848792406529} is an apocalyptic number.

98848792406529 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

98848792406529 is the 9942273-rd square number.

98848792406529 is the 4971137-th centered octagonal number.

It is an amenable number.

98848792406529 is a deficient number, since it is larger than the sum of its proper divisors (69296834741970).

98848792406529 is an frugal number, since it uses more digits than its factorization.

98848792406529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

98848792406529 divided by its sum of digits (81) gives a square (1220355461809 = 1104697²).

The spelling of 98848792406529 in words is "ninety-eight trillion, eight hundred forty-eight billion, seven hundred ninety-two million, four hundred six thousand, five hundred twenty-nine".