802497282048 has 1080 divisors, whose sum is σ = 3076805571840. Its totient is φ = 198924042240.

The previous prime is 802497282043. The next prime is 802497282073. The reversal of 802497282048 is 840282794208.

802497282048 is a `hidden beast` number, since 80 + 249 + 7 + 282 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 802497281985 and 802497282003.

It is not an unprimeable number, because it can be changed into a prime (802497282043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1828011813 + ... + 1828012251.

It is an arithmetic number, because the mean of its divisors is an integer number (2848894048).

Almost surely, 2^802497282048 is an apocalyptic number.

802497282048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802497282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538402785920).

802497282048 is an abundant number, since it is smaller than the sum of its proper divisors (2274308289792).

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

802497282048 is a wasteful number, since it uses less digits than its factorization.

802497282048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 802497282048 in words is "eight hundred two billion, four hundred ninety-seven million, two hundred eighty-two thousand, forty-eight".