16503115082616 has 384 divisors, whose sum is σ = 48856560480000. Its totient is φ = 5011436666880.

The previous prime is 16503115082611. The next prime is 16503115082639. The reversal of 16503115082616 is 61628051130561.

It is a happy number.

16503115082616 is a `hidden beast` number, since 1 + 6 + 50 + 31 + 1 + 508 + 2 + 61 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16503115082611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8255684385 + ... + 8255686383.

It is an arithmetic number, because the mean of its divisors is an integer number (127230626250).

Almost surely, 2^{16503115082616} 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 16503115082616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24428280240000).

16503115082616 is an abundant number, since it is smaller than the sum of its proper divisors (32353445397384).

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

16503115082616 is a wasteful number, since it uses less digits than its factorization.

16503115082616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 16503115082616 in words is "sixteen trillion, five hundred three billion, one hundred fifteen million, eighty-two thousand, six hundred sixteen".