4516649916480 has 560 divisors, whose sum is σ = 17311862272320. Its totient is φ = 1111183183872.

The previous prime is 4516649916479. The next prime is 4516649916481. The reversal of 4516649916480 is 846199466154.

It is a happy number.

4516649916480 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 6 + 499 + 1 + 64 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4516649916479) and next prime (4516649916481).

It is not an unprimeable number, because it can be changed into a prime (4516649916481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1195195231 + ... + 1195199009.

It is an arithmetic number, because the mean of its divisors is an integer number (30914039772).

Almost surely, 2^{4516649916480} is an apocalyptic number.

4516649916480 is a gapful number since it is divisible by the number (40) 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 4516649916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655931136160).

4516649916480 is an abundant number, since it is smaller than the sum of its proper divisors (12795212355840).

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

4516649916480 is a wasteful number, since it uses less digits than its factorization.

4516649916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 4516649916480 in words is "four trillion, five hundred sixteen billion, six hundred forty-nine million, nine hundred sixteen thousand, four hundred eighty".