803480543712 has 1152 divisors, whose sum is σ = 3072103372800. Its totient is φ = 199812096000.

The previous prime is 803480543639. The next prime is 803480543731. The reversal of 803480543712 is 217345084308.

803480543712 is a `hidden beast` number, since 8 + 0 + 34 + 8 + 0 + 543 + 71 + 2 = 666.

It is a super-2 number, since 2×803480543712² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1830251589 + ... + 1830252027.

It is an arithmetic number, because the mean of its divisors is an integer number (2666756400).

Almost surely, 2^803480543712 is an apocalyptic number.

803480543712 is a gapful number since it is divisible by the number (82) 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 803480543712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536051686400).

803480543712 is an abundant number, since it is smaller than the sum of its proper divisors (2268622829088).

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

803480543712 is a wasteful number, since it uses less digits than its factorization.

803480543712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 803480543712 in words is "eight hundred three billion, four hundred eighty million, five hundred forty-three thousand, seven hundred twelve".