8196654480400 has 135 divisors (see below), whose sum is σ = 19804941238789. Its totient is φ = 3260040970240.

The previous prime is 8196654480389. The next prime is 8196654480461. The reversal of 8196654480400 is 40844566918.

The square root of 8196654480400 is 2862980.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3819788807184 + 4376865673216 = 1954428^2 + 2092096^2 .

It is a super-2 number, since 2×8196654480400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 14715716922 + ... + 14715717478.

Almost surely, 2^{8196654480400} is an apocalyptic number.

8196654480400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8196654480400 is the 2862980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8196654480400

8196654480400 is an abundant number, since it is smaller than the sum of its proper divisors (11608286758389).

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

8196654480400 is an frugal number, since it uses more digits than its factorization.

8196654480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 8196654480400 in words is "eight trillion, one hundred ninety-six billion, six hundred fifty-four million, four hundred eighty thousand, four hundred".