4516213632 has 256 divisors, whose sum is σ = 14386014720. Its totient is φ = 1228308480.

The previous prime is 4516213627. The next prime is 4516213651. The reversal of 4516213632 is 2363126154.

It is a junction number, because it is equal to n+sod(n) for n = 4516213593 and 4516213602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4738468 + ... + 4739420.

It is an arithmetic number, because the mean of its divisors is an integer number (56195370).

Almost surely, 2^4516213632 is an apocalyptic number.

4516213632 is a gapful number since it is divisible by the number (42) 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 4516213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193007360).

4516213632 is an abundant number, since it is smaller than the sum of its proper divisors (9869801088).

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

4516213632 is a wasteful number, since it uses less digits than its factorization.

4516213632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1049 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 4516213632 is about 67202.7799424994. The cubic root of 4516213632 is about 1652.9440712680.

Adding to 4516213632 its reverse (2363126154), we get a palindrome (6879339786).

The spelling of 4516213632 in words is "four billion, five hundred sixteen million, two hundred thirteen thousand, six hundred thirty-two".