802134942336 has 1536 divisors, whose sum is σ = 3167281152000. Its totient is φ = 197522841600.

The previous prime is 802134942299. The next prime is 802134942377. The reversal of 802134942336 is 633249431208.

802134942336 is a `hidden beast` number, since 8 + 0 + 213 + 4 + 9 + 423 + 3 + 6 = 666.

802134942336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 802134942291 and 802134942300.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5312151861 + ... + 5312152011.

It is an arithmetic number, because the mean of its divisors is an integer number (2062032000).

Almost surely, 2^802134942336 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 802134942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583640576000).

802134942336 is an abundant number, since it is smaller than the sum of its proper divisors (2365146209664).

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

802134942336 is a wasteful number, since it uses less digits than its factorization.

802134942336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 802134942336 in words is "eight hundred two billion, one hundred thirty-four million, nine hundred forty-two thousand, three hundred thirty-six".