4487446656 has 720 divisors, whose sum is σ = 17309469870. Its totient is φ = 1149603840.

The previous prime is 4487446643. The next prime is 4487446669. The reversal of 4487446656 is 6566447844.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4487446643) and next prime (4487446669).

It can be written as a sum of positive squares in only one way, i.e., 3719048256 + 768398400 = 60984^2 + 27720^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (15482880) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 61471836 + ... + 61471908.

Almost surely, 2^4487446656 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 4487446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654734935).

4487446656 is an abundant number, since it is smaller than the sum of its proper divisors (12822023214).

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

4487446656 is a wasteful number, since it uses less digits than its factorization.

4487446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The square root of 4487446656 is about 66988.4068776083. The cubic root of 4487446656 is about 1649.4270010365.

The spelling of 4487446656 in words is "four billion, four hundred eighty-seven million, four hundred forty-six thousand, six hundred fifty-six".