4516755456 has 96 divisors (see below), whose sum is σ = 12565687680. Its totient is φ = 1440079872.

The previous prime is 4516755391. The next prime is 4516755457. The reversal of 4516755456 is 6545576154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4516755457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125331 + ... + 157293.

It is an arithmetic number, because the mean of its divisors is an integer number (130892580).

Almost surely, 2^4516755456 is an apocalyptic number.

4516755456 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 4516755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282843840).

4516755456 is an abundant number, since it is smaller than the sum of its proper divisors (8048932224).

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

4516755456 is a wasteful number, since it uses less digits than its factorization.

4516755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32011 (or 31991 counting only the distinct ones).

The product of its digits is 2520000, while the sum is 48.

The square root of 4516755456 is about 67206.8110834014. The cubic root of 4516755456 is about 1653.0101715479.

The spelling of 4516755456 in words is "four billion, five hundred sixteen million, seven hundred fifty-five thousand, four hundred fifty-six".