803068984369152 has 896 divisors, whose sum is σ = 2567646514176000. Its totient is φ = 250382211416064.

The previous prime is 803068984369151. The next prime is 803068984369177. The reversal of 803068984369152 is 251963489860308.

It is a happy number.

803068984369152 is a `hidden beast` number, since 8 + 0 + 30 + 6 + 8 + 9 + 8 + 436 + 9 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (803068984369151) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26891756973 + ... + 26891786835.

Almost surely, 2^{803068984369152} 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 803068984369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283823257088000).

803068984369152 is an abundant number, since it is smaller than the sum of its proper divisors (1764577529806848).

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

803068984369152 is an frugal number, since it uses more digits than its factorization.

803068984369152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30008 (or 29966 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 803068984369152 in words is "eight hundred three trillion, sixty-eight billion, nine hundred eighty-four million, three hundred sixty-nine thousand, one hundred fifty-two".