36003616163424 has 1152 divisors, whose sum is σ = 137297883340800. Its totient is φ = 8962542950400.

The previous prime is 36003616163399. The next prime is 36003616163447. The reversal of 36003616163424 is 42436161630063.

36003616163424 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 3 + 6 + 1 + 6 + 1 + 634 + 2 + 4 = 666.

It is a super-4 number, since 4×36003616163424⁴ (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36003616163424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5495892949 + ... + 5495899499.

It is an arithmetic number, because the mean of its divisors is an integer number (119182190400).

Almost surely, 2^{36003616163424} 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 36003616163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68648941670400).

36003616163424 is an abundant number, since it is smaller than the sum of its proper divisors (101294267177376).

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

36003616163424 is a wasteful number, since it uses less digits than its factorization.

36003616163424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6905 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

Adding to 36003616163424 its reverse (42436161630063), we get a palindrome (78439777793487).

The spelling of 36003616163424 in words is "thirty-six trillion, three billion, six hundred sixteen million, one hundred sixty-three thousand, four hundred twenty-four".