8201098427536 has 225 divisors, whose sum is σ = 19589239534041. Its totient is φ = 3325439287296.

The previous prime is 8201098427437. The next prime is 8201098427663. The reversal of 8201098427536 is 6357248901028.

The square root of 8201098427536 is 2863756.

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

It can be written as a sum of positive squares in only one way, i.e., 3208555067536 + 4992543360000 = 1791244^2 + 2234400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10664626960 + ... + 10664627728.

It is a 1-persistent number, because it is pandigital, but 2⋅8201098427536 = 16402196855072 is not.

Almost surely, 2^{8201098427536} is an apocalyptic number.

8201098427536 is the 2863756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8201098427536

8201098427536 is an abundant number, since it is smaller than the sum of its proper divisors (11388141106505).

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

8201098427536 is an frugal number, since it uses more digits than its factorization.

8201098427536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 8201098427536 in words is "eight trillion, two hundred one billion, ninety-eight million, four hundred twenty-seven thousand, five hundred thirty-six".