4636287417216 has 1024 divisors, whose sum is σ = 17325400780800. Its totient is φ = 1062744883200.

The previous prime is 4636287417197. The next prime is 4636287417241. The reversal of 4636287417216 is 6127147826364.

It is a super-2 number, since 2×4636287417216² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 396224166 + ... + 396235866.

It is an arithmetic number, because the mean of its divisors is an integer number (16919336700).

Almost surely, 2^{4636287417216} is an apocalyptic number.

4636287417216 is a gapful number since it is divisible by the number (46) 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 4636287417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8662700390400).

4636287417216 is an abundant number, since it is smaller than the sum of its proper divisors (12689113363584).

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

4636287417216 is a wasteful number, since it uses less digits than its factorization.

4636287417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11807 (or 11795 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The spelling of 4636287417216 in words is "four trillion, six hundred thirty-six billion, two hundred eighty-seven million, four hundred seventeen thousand, two hundred sixteen".