4651441564 has 48 divisors (see below), whose sum is σ = 10193460480. Its totient is φ = 1804239360.

The previous prime is 4651441541. The next prime is 4651441579.

It is a happy number.

4651441564 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36652 + ... + 103180.

It is an arithmetic number, because the mean of its divisors is an integer number (212363760).

Almost surely, 2^4651441564 is an apocalyptic number.

4651441564 is a gapful number since it is divisible by the number (44) 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 4651441564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096730240).

4651441564 is an abundant number, since it is smaller than the sum of its proper divisors (5542018916).

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

4651441564 is a wasteful number, since it uses less digits than its factorization.

4651441564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66778 (or 66776 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 4651441564 is about 68201.4777259261. The cubic root of 4651441564 is about 1669.2799989460.

The spelling of 4651441564 in words is "four billion, six hundred fifty-one million, four hundred forty-one thousand, five hundred sixty-four".