8202663770112 has 1344 divisors, whose sum is σ = 30063002074560. Its totient is φ = 2183160397824.

The previous prime is 8202663770053. The next prime is 8202663770117. The reversal of 8202663770112 is 2110773662028.

8202663770112 is a `hidden beast` number, since 8 + 2 + 0 + 2 + 6 + 637 + 7 + 0 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8202663770117) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24340248408 + ... + 24340248744.

It is an arithmetic number, because the mean of its divisors is an integer number (22368305115).

Almost surely, 2^{8202663770112} 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 8202663770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031501037280).

8202663770112 is an abundant number, since it is smaller than the sum of its proper divisors (21860338304448).

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

8202663770112 is a wasteful number, since it uses less digits than its factorization.

8202663770112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 8202663770112 in words is "eight trillion, two hundred two billion, six hundred sixty-three million, seven hundred seventy thousand, one hundred twelve".