8201996465712 has 480 divisors, whose sum is σ = 26586135711744. Its totient is φ = 2131804569600.

The previous prime is 8201996465693. The next prime is 8201996465713. The reversal of 8201996465712 is 2175646991028.

It is not an unprimeable number, because it can be changed into a prime (8201996465713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4157118358 + ... + 4157120330.

Almost surely, 2^{8201996465712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8201996465712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293067855872).

8201996465712 is an abundant number, since it is smaller than the sum of its proper divisors (18384139246032).

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

8201996465712 is a wasteful number, since it uses less digits than its factorization.

8201996465712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 8201996465712 in words is "eight trillion, two hundred one billion, nine hundred ninety-six million, four hundred sixty-five thousand, seven hundred twelve".