4660611456 has 128 divisors (see below), whose sum is σ = 12561960960. Its totient is φ = 1530869760.

The previous prime is 4660611419. The next prime is 4660611499. The reversal of 4660611456 is 6541160664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11070126 + ... + 11070546.

It is an arithmetic number, because the mean of its divisors is an integer number (98140320).

Almost surely, 2^4660611456 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 4660611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280980480).

4660611456 is an abundant number, since it is smaller than the sum of its proper divisors (7901349504).

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

4660611456 is a wasteful number, since it uses less digits than its factorization.

4660611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4660611456 is about 68268.6711164059. The cubic root of 4660611456 is about 1670.3762232196.

The spelling of 4660611456 in words is "four billion, six hundred sixty million, six hundred eleven thousand, four hundred fifty-six".