4587263442216 has 384 divisors, whose sum is σ = 15799847558400. Its totient is φ = 1207470551040.

The previous prime is 4587263442211. The next prime is 4587263442227. The reversal of 4587263442216 is 6122443627854.

It is a happy number.

4587263442216 is a `hidden beast` number, since 4 + 5 + 8 + 72 + 6 + 344 + 221 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4587263442211) 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, 133112860 + ... + 133147316.

It is an arithmetic number, because the mean of its divisors is an integer number (41145436350).

Almost surely, 2^{4587263442216} 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 4587263442216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899923779200).

4587263442216 is an abundant number, since it is smaller than the sum of its proper divisors (11212584116184).

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

4587263442216 is a wasteful number, since it uses less digits than its factorization.

4587263442216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35026 (or 35003 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 4587263442216 in words is "four trillion, five hundred eighty-seven billion, two hundred sixty-three million, four hundred forty-two thousand, two hundred sixteen".