803882615616 has 168 divisors, whose sum is σ = 2393181030240. Its totient is φ = 267550843392.

The previous prime is 803882615579. The next prime is 803882615617. The reversal of 803882615616 is 616516288308.

803882615616 is a `hidden beast` number, since 8 + 0 + 3 + 8 + 8 + 2 + 6 + 15 + 616 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803882615617) 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 23 ways as a sum of consecutive naturals, for example, 10209550 + ... + 10287986.

It is an arithmetic number, because the mean of its divisors is an integer number (14245125180).

Almost surely, 2^803882615616 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 803882615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196590515120).

803882615616 is an abundant number, since it is smaller than the sum of its proper divisors (1589298414624).

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

803882615616 is an equidigital number, since it uses as much as digits as its factorization.

803882615616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79123 (or 79101 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 803882615616 in words is "eight hundred three billion, eight hundred eighty-two million, six hundred fifteen thousand, six hundred sixteen".