802414633338 has 80 divisors (see below), whose sum is σ = 1842689799720. Its totient is φ = 260829849600.

The previous prime is 802414633333. The next prime is 802414633343. The reversal of 802414633338 is 833336414208.

802414633338 is a `hidden beast` number, since 8 + 0 + 2 + 4 + 1 + 4 + 633 + 3 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (802414633333) and next prime (802414633343).

It can be written as a sum of positive squares in 4 ways, for example, as 542348292249 + 260066341089 = 736443^2 + 509967^2 .

It is a junction number, because it is equal to n+sod(n) for n = 802414633293 and 802414633302.

It is not an unprimeable number, because it can be changed into a prime (802414633333) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15310218 + ... + 15362538.

Almost surely, 2^802414633338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802414633338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921344899860).

802414633338 is an abundant number, since it is smaller than the sum of its proper divisors (1040275166382).

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

802414633338 is a wasteful number, since it uses less digits than its factorization.

802414633338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54685 (or 54676 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 802414633338 in words is "eight hundred two billion, four hundred fourteen million, six hundred thirty-three thousand, three hundred thirty-eight".