9818132892100 has 81 divisors (see below), whose sum is σ = 23071245671943. Its totient is φ = 3625006357440.

The previous prime is 9818132892053. The next prime is 9818132892103. The reversal of 9818132892100 is 12982318189.

The square root of 9818132892100 is 3133390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2530638276804 + 7287494615296 = 1590798^2 + 2699536^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9818132892103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 407328649 + ... + 407352751.

Almost surely, 2^{9818132892100} is an apocalyptic number.

9818132892100 is the 3133390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9818132892100

9818132892100 is an abundant number, since it is smaller than the sum of its proper divisors (13253112779843).

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

9818132892100 is an equidigital number, since it uses as much as digits as its factorization.

9818132892100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48246 (or 24123 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 52.

The spelling of 9818132892100 in words is "nine trillion, eight hundred eighteen billion, one hundred thirty-two million, eight hundred ninety-two thousand, one hundred".