8190414372100 has 135 divisors (see below), whose sum is σ = 18615478260351. Its totient is φ = 3127931294400.

The previous prime is 8190414372097. The next prime is 8190414372131. The reversal of 8190414372100 is 12734140918.

The square root of 8190414372100 is 2861890.

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 483172351236 + 7707242020864 = 695106^2 + 2776192^2 .

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, 15139397830 + ... + 15139398370.

Almost surely, 2^{8190414372100} is an apocalyptic number.

8190414372100 is the 2861890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8190414372100

8190414372100 is an abundant number, since it is smaller than the sum of its proper divisors (10425063888251).

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

8190414372100 is an frugal number, since it uses more digits than its factorization.

8190414372100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 8190414372100 in words is "eight trillion, one hundred ninety billion, four hundred fourteen million, three hundred seventy-two thousand, one hundred".