8190974016 has 147 divisors (see below), whose sum is σ = 24428098591. Its totient is φ = 2723808384.

The previous prime is 8190974009. The next prime is 8190974041. The reversal of 8190974016 is 6104790918.

It is a happy number.

The square root of 8190974016 is 90504.

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

It is a super-3 number, since 3×8190974016³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 19548655 + ... + 19549073.

Almost surely, 2^8190974016 is an apocalyptic number.

8190974016 is the 90504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8190974016

8190974016 is an abundant number, since it is smaller than the sum of its proper divisors (16237124575).

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

8190974016 is an frugal number, since it uses more digits than its factorization.

8190974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The cubic root of 8190974016 is about 2015.7895188417.

The spelling of 8190974016 in words is "eight billion, one hundred ninety million, nine hundred seventy-four thousand, sixteen".