98820952164 has 135 divisors (see below), whose sum is σ = 275411492265. Its totient is φ = 29876584320.

The previous prime is 98820952147. The next prime is 98820952171. The reversal of 98820952164 is 46125902889.

It is a happy number.

The square root of 98820952164 is 314358.

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

98820952164 is a `hidden beast` number, since 98 + 8 + 20 + 9 + 521 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11081772900 + 87739179264 = 105270^2 + 296208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 98820952164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 228223692 + ... + 228224124.

Almost surely, 2^98820952164 is an apocalyptic number.

98820952164 is the 314358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98820952164

98820952164 is an abundant number, since it is smaller than the sum of its proper divisors (176590540101).

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

98820952164 is an equidigital number, since it uses as much as digits as its factorization.

98820952164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 98820952164 in words is "ninety-eight billion, eight hundred twenty million, nine hundred fifty-two thousand, one hundred sixty-four".