4540653216 has 288 divisors, whose sum is σ = 15178363200. Its totient is φ = 1272176640.

The previous prime is 4540653203. The next prime is 4540653223. The reversal of 4540653216 is 6123560454.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4540653216² = 41235063255942285312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3176790 + ... + 3178218.

It is an arithmetic number, because the mean of its divisors is an integer number (52702650).

Almost surely, 2^4540653216 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 4540653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589181600).

4540653216 is an abundant number, since it is smaller than the sum of its proper divisors (10637709984).

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

4540653216 is a wasteful number, since it uses less digits than its factorization.

4540653216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4540653216 is about 67384.3692261047. The cubic root of 4540653216 is about 1655.9203560380.

It can be divided in two parts, 4540 and 653216, that added together give a palindrome (657756).

The spelling of 4540653216 in words is "four billion, five hundred forty million, six hundred fifty-three thousand, two hundred sixteen".